A manufacturing facility is responsible for producing two components that are produced at states 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent). For the final product (con- sisting of both components) to be acceptable the sum of the two states needs to be at least equal to 6. At the moment, the manufacturing processes are random, and hence each component is equally likely to be at any of the 5 states. Answer the following questions.

Required:
a. What is the probability that a final product is acceptable? What is the probability that a final product is unacceptable?
b. What is the probability that a final product is acceptable given that the first component is produced at a state of 2?
c. What is the probability that the second component was produced at a state of 3 given that the final product is acceptable?

Answers

Answer 1

Answer:

a) i) P( final product is acceptable ) = 3/5

   ii) P ( final product not acceptable ) =  2/5

B)  P (  final product is acceptable | X =2 ) = 2/5

C)  P ( Y = 3 | Final product is acceptable ) = 2/5

Step-by-step explanation:

Given data :

5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)

Number of components produced = 2

X ( component 1 ) ∴ P(X) = 1/5

Y ( component 2 ) ∴ P(Y) = 1/5

Aim : Sum of Final product needs to be ≥ 6

A) Probability of a final product been acceptable and also unacceptable

P( final product is acceptable ) ; P(X + Y ≥ 6 )

= 1/5 ∑ P( Y ≥ 6 - x )

= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )

= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )

= 3/5

P ( final product not acceptable ) = 1 - 3/5 = 2/5

B) P (  final product is acceptable | X =2 )

 ∴ P ( Y ≥ 4 )

   = 2/5

C) P ( Y = 3 | Final product is acceptable )

∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 )  ( because they are not independent )

  = 1 - 3/5 = 2/5.


Related Questions

Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?

Answers

Answer: 3 were blue

Step-by-step explanation:

Blue  + Red  =   18....so.....

B  +  5B  =  18

6B  =  18

B   =18 /   6    =    3  blue

y : 11 = 27 : 33 what is y

Answers

9514 1404 393

Answer:

  y = 9

Step-by-step explanation:

Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.

  y = 27/3 = 9

Anna and Henry are raking their yard. Anna has raked 5/12 of the yard and Henry has raked 4/9 of the yard. What fraction of the yard still
needs to be raked?

Answers

Answer:

Step-by-step explanation:

The raked portion is 5/12 plus 4/9, or (applying the LCD, 36),

20/36 + 24/36.

The sum of these two fractions is 44/36, or 1/9.

1/9 of the yard remains to be raked.

Plz help me well mark brainliest if correct

Answers

Answer:

61 seconds

Step-by-step explanation:

Answer:

23 seconds

Step-by-step explanation:

The slowest time is 23 second and the fastest time is 61 seconds

The time before the bar is the tens place and each time after the bar is the ones place

A company has found that for every 100 cans they have a misprint on 2 cans. if they produce 21850 cans per day how many cans should they predict to have misprint in a day

Answers

Answer:

437

Step-by-step explanation:

21850/100 * 2 = 437

The question is in the picture (Alegbra 1)

Answers

Answer:

[tex]\frac{s}{s-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )

= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator

Leave first fraction, change division to multiplication, turn second fraction upside down

= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator

= [tex]\frac{s}{s-4}[/tex]

Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?​

Answers

Answer:

Corey have a better score on his math test

Step-by-step explanation:

13/15 = 86%

17/20 = 85%

turn the scores into percentage and you will get the answer

|x-4| if x>4
can you please help me

Answers

Answer:  x - 4  without the absolute value bars surrounding it

=================================================

Explanation:

If x is larger than 4, then x-4 is positive. For example, if x = 5, then

x-4 = 5-4 = 1

So for cases when x > 4, the |x-4| and x-4 are the same identical expression. Try out more values of x to compare the two outputs. I recommend making a table with 3 columns. You'll have x in column 1, then |x-4| in column 2, and x-4 in column 3. You should find that the outputs for columns 2 and 3 are identical when x is larger than 4.

It's only when x < 4 is when |x-4| and x-4 differ. Instead we would say |x-4| = -(x-4). But we aren't focused on this case.

In short, when x > 4, we simply drop the absolute value bars to get the answer  x - 4

what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.

Answers

Answer:

40.84 to nearest hundredth.

Step-by-step explanation:

C = pi * d

= pi * 13

= 40.8407

what is the length of the hypotenuse?

please help!

Answers

Answer:

34

Step-by-step explanation:

Hypotenuse is the longest side

I hope this helped have a great day

Pleaseeeeee help meeee

Answers

Answer:

I'm pretty sure its C

Step-by-step explanation:

Move the point P two steps right. The original coordinates of P were (2,5)  moving the point 2 units right increases the X value (X,Y) by 2 units, making it (4, 5)

all the prime numbers between 1 and 30​

Answers

Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29.



Hope this helped (:

Francine is playing a board game with her friends. She needs to roll two dice
and get a total greater than ten to win the game on the next roll. What is the
probability that she will not win on the next roll?

Answers

10/12 = 5/6 probability that she will not win on the next roll

Fraccion decimal de -8,6

Answers

Answer:

− 1.  ¯3

Step-by-step explanation:

plz help meeeeeeeee :)

Answers

Answer:

SAS, cuz an angle and 2 of it's adjacent sides are given for each triangle that makes them congruent.

Hope this helps!

5
Select the correct answer.
Which number has a repeating decimal form?
A. 15
OB.
11
25
3
20
C. D.
2
ODIN

Answers

Answer:

C=6.6666666666666666666666666

Answer:

[tex]D.\frac{2}{6}[/tex]

Step-by-step explanation:

√15 = 3.87298334621

11/25 = 11 ÷ 25 = 0.44

3/20 = 3 ÷ 20 = 0.15

2/6 = 2 ÷ 6 = 0.33333333333

find the difference below as a fraction 6/2_7/7​

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{6}{2}[/tex] - [tex]\frac{7}{7}[/tex]        First simplify each fraction

[tex]3[/tex] - 1        Then solve

2            Final answer

Guys please help do I multiply or divid & which number will I be diving w or multiply

Answers

Answer:

1. a) $24, b) $36, c) $48

2. a) $18, b) $27, c) $36

3. a) $1.64, b) $2.46, c) $3.28

5. a) $30, b) $50, c) $70

6. a) $4.05, b) $6.75, c) $10.80

7. a) $14.85, b) $24.75, c) $39.60

Explanations:

Whatever we multiply the item by, we multiply the cost by. If we double the number of socks, we double the price. If we triple the number of socks, we triple the price.

1. a) 3 costs $12, and 3 x 2 = 6, so we do the same to the price: $12 x 2 = $24

b) 3 times 3 is 9, so 3 x 12 gives you that cost, $36

c) 3 x 4 = 12, so 12 x 4 = $48

2. a) 3 pairs is $9, and we need 6 pairs. 3 x 2 = 6, so we also multiply the price x 2 = $18

b) 3 x 3 = 9 pairs, multiply the cost times 3 as well. 9 x 3 = $27

c) 3 x 4 = 12, multiply the cost x 4. 9 x 4 = 36

3. 4 apples cost $0.82

a) 4 x 2 = 8 apples, $0.82 x 2 = $1.64

b) 4 x 3 = 12 apples, $0.82 x 3 = $2.46

c) 4 x 4 = 16 apples, $0.82 x 4 = $3.28

---------------------------------------------

The concept is the same for all the other questions as well. Please comment below if you need a different explanation to understand this. :)

4. $4.50 for 2 pens
A. $9.00
B. $13.50
C. $18.00

8. $4.25 for 3 ice cream cones
A. $12.75
B. $21.25
C. $38.25

I saw your questions in the comments. Your lesson is probably about unit rates and just use the same technique the person above me did! Its pretty easy tho.

Have a nice day! At least give my answer a thanks.

PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT

Answers

Answer:

Step-by-step explanation:

5.

3x-1 = 4x+13

-1=x+13

12=x

3(12)-1

36-1

Answer: 35

Second 5.

I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)

6.

90+40+x=180

130+x=180

50=x

Answer: 50

7.

x+71=90

x=19

Answer: 19

The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16​

Answers

Answer:

The answer is B and BTW AMC STOCKS ARE RISING

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

In the diagram, AFGH-AXYZ.
G
X
14
16
10
Y
H
40
4
Z
*not drawn to scale
What is the length of XY?
O A. 20
B. 35
C. 40
D. 56

Answers

Answer:

the answer is 40 ..........

Can someone please help?

Answers

Answer:

1515

Step-by-step explanation:

Which fraction equal to 0.34

Answers

Answer:

17/50

Step-by-step explanation:

.34 is thirty four hundredths

This means 34/100

Simplifying by dividing the top and bottom by 2

17/50

Answer:

17÷50

Step-by-step explanation:

0.34

= 0.34/1      

= (0.34 × 100) ÷ (1 × 100)

= 34/100

= (34)

÷(100)                     (you can divide by 2)

= 17÷50

How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?

Answers

5^4 but on a screen the 5 would just have the 4 over it

Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴

Given tha expression :

5 × 5 × 5 × 5

Number of 5's = 4

The number of 5's can be used as the power of the base, since the base is common.

Base = 5

Hence,

5 × 5 × 5 × 5 = 5⁴

Learn more : https://brainly.com/question/25629067

You select 13 cards without replacement from a standard deck of 52 cards. What is the probability that you get 4 aces

Answers

Given :

You select 13 cards without replacement from a standard deck of 52 cards.

To Find :

The probability that you get 4 aces.

Solution :

Since, it is given that we need to select cards without replacement.

Probability of getting 4 aces is :

[tex]P = \dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50} \times \dfrac{1}{49}\times 4!\\\\P = 3.693 \times 10^{-6}[/tex]

Hence, this is the required solution.

Which symbol correctly compares the two angles? pi 3 \ 60^

Answers

Answer: =

Step-by-step explanation: just took the test

We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.

Which symbol correctly compares the two angles?

Here we have two angles, one in degrees and  the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.

The angles are:

pi/3 rads

60°

First, remember that:

pi rads = 180°

1 rad = (180°/pi)

With this, we can change the units of the first angle to get:

pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°

So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.

pi/3 rads = 60°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372



Can someone explain too please

Answers

Answer:

Answer = A.)10

Step-by-step explanation:

The median for test A is 30 and the median for test B is 40. So you take the bigger number and subtract it by the smaller number to get the difference. 40-30 = 10

the answer to ur question is A

YALL PLEASE HELP ME ASAP

Answers

Answer:

B

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

djd she’s djd djd she she when d ene

Please help with this thank you! :)

The following image shows the construction of segment RS.Based on the steps shown to create that construction,which type linenis RS?

A- Median
B-Midsegment
C-Altitude
D- Skew​

Answers

Answer:

A) Median

Step-by-step explanation:

A median joins the midpoint of a side and the opposite vertex.

Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.

Answers

[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]

Other Questions
Students who understand what the teacher is saying do not need to take notes.Please select the best answer from the choices provided Select the correct answer.Which result is a positive aspect of globalization?A.intense competition4B.decreased profit marginsO C.increased coordination costsD.business expansion Find the area of the bolded sector in the circle below.Leave your answer in terms of pi. Just type what number should be multiplied to the pi)area sector = ?? Find the median and mean of the data set below:14, 6, 30, 23, 4,4 Para contratar uma assinatura, o cliente deve pagar uma entrada de R$24,00 e mais 12 parcelas no valor da assinatura contratada. Escreva uma expresso algbrica para representar o valor P a ser pago por uma assinatura. Quanto pagar um cliente que contratar a assinatura que possu parcelas de R$17,00? Aftermath of WW2 , compare the allies approach in Japan to their approach in Germany how did the allies treat Japan? How did the allies treat Germany? Media literacy examples If a sample of a gas occupies 5.22 L at 235 oC, what will its volume be at 75 oC if the pressure remains the same? What is the value of y in the diagram?5629 PLEASE HELP!!! CALCULUS ASSIGNMENT The power of a machine measures * 1 point The area of a square tile is the same as the area of a rectangle tile that is 18 inches long and 8 inches wide.What is the side length of the square tile?Please answer seriously its important. HELP ASAP a slice is made parallel to the base of a right rectangular pyramid, as shown.What is the area of the resulting two-dimensional cross-section?Enter your answer in the box. Find the sum of the first four terms of the geometric series 2 + 1 +.... Who is the current president of the United states Why is DNA attracted to the positive end of the electrophoresis rig? Read the following passage carefully before you choose your answer.This passage is excerpted from an essay written in nineteenth-century England.Literally and truly, one cannot get on well in the world without money. To be in want of it, is to pass through life with little credit or pleasure; it is to live out of the world, or to be despised if you come into it; it is not to be sent for to court, or asked out to dinner, or noticed in the street; it is not to have your opinion consulted or else rejected with contempt, to have your acquirements carped at and doubted, your good things disparaged, and at last to lose the wit and the spirit to say them; it is to be scrutinized by strangers, and neglected by friends; it is to be a thrall to circumstances, an exile in one's own country; to forego leisure, freedom, ease of body and mind, to be dependent on the good-will and caprice of others, or earn a precarious and irksome livelihood by some laborious employment; it is to be compelled to stand behind a counter, or to sit at a desk in some public office, or to marry your landlady, or not the person you would wish; or to go out to the East or West Indies, or to get a situation as judge abroad, and return home with a liver-complaint; or to be a law-stationer, or a scrivener or scavenger, or newspaper reporter; or to read law and sit in court without a brief; or to be deprived of the use of your fingers by transcribing Greek manuscripts, or to be a seal-engraver and pore yourself blind; or to go upon the stage, or try some of the Fine Arts; with all your pains, anxiety, and hopes, and most probably to fail, or, if you succeed, after the exertions of years, and undergoing constant distress of mind and fortune, to be assailed on every side with envy, back-biting, and falsehood, or to be a favourite with the public for awhile, and then thrown into the backgroundor a gaol*, by the fickleness of taste and some new favourite; to be full of enthusiasm and extravagance in youth, of chagrin and disappointment in after-life; to be jostled by the rabble because you do not ride in your coach, or avoided by those who know your worth and shrink from it as a claim on their respect or their purse; to be a burden to your relations, or unable to do anything for them; to be ashamed to venture into crowds; to have cold comfort at home; to lose by degrees your confidence and any talent you might possess; to grow crabbed, morose, and querulous, dissatisfied with every one, but most so with yourself; and plagued out of your life, to look about for a place to die in, and quit the world without any one's asking after your will. The wiseacres will possibly, however, crowd round your coffin, and raise a monument at a considerable expense, and after a lapse of time, to commemorate your genius and your misfortunes!*jailThe speaker's primary purpose in the passage is to argue that money is a necessary evil in life and one which provides mixed blessings defend the argument that desire for money is a misguided aspiration in one's life explain why those with money are guaranteed to enjoy the finer things in life illustrate how lack of money greatly and negatively impacts one's quality of life reveal the true nature of money as it pertains to happiness and well-being Dr. Nachman and his colleagues collected rock pocket mice across 35 kilometers of the Arizona Sonoran Desert, which included both dark, rocky lava outcrops and light, rocky, granite areas. They recorded substrate color, and coat-color frequencies for each location. Each site was separated from any of the others by at least eight kilometers. The researchers trapped a total of 275 mice. Their data are summarized below: Collecting Site Substrate Color Number of Mice Phenotype Light Dark1 Dark 22 3 192 Light 80 74 63 Light 22 19 34 Dark 28 3 255 Light 58 25 336 Dark 65 9 56Required:a. Calculate the overall frequencies of light-colored mice and dark-colored mice caught on light-colored substrates.b. Calculate the overall frequencies of light-colored mice and dark-colored mice caught on dark-colored substrates.c. Using the Hardy-Weinberg equation and data from the table above, determine the frequency of the three genotypes on the light, rocky, granite substrate. For genotype frequencies use three decimal places and for calculations using the allele frequencies, you must round the allele frequencies to two decimal places. Helpppppppppp please A representative acting as a trustee a. Votes his or her constituents' positions only when they believe the constituents understand the issue.b. Hardly considers the views of his constituents, but assumes that they do not understand the complexity of the issues.c. Supports issues based on his own positions on behalf of their constituents.d. Has been entrusted by the national party to support their issues over the positions their constituents.