Answer:
1/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. On a fair die, the number are 1 to 6 while 1 and 2 are the only numbers less than 3.
Hence the odds of getting a number is the ratio of 6 to 6 while the odds of getting a number lower than 3 will be
= 2/6
= 1/3 (in the lowest term)
This is because the odd of getting 1 is 1/6 and the odd of hetting 2 is 1/6 9 recall that both numbers appear once on a die). Hence the odd of getting 1 or 2 will be
= 1/6 + 1/6
= 2/6
=1/3
An automobile insurance company divides customers into three risk categories: Good (G), Medium (M), and Poor (P). Assume the following distribution of customers: 70% are Good risks, 20% are Medium risks, and 10% are Poor risks. Assume that the probabilities of a customer filing an accident claim (C) in the course of a year are: 0.5% for Good, 1% for Medium, and 2.5% for Poor. A customer is chosen at random.
a) What is the probability that the customer is a good risk and has filed a claim?b) What is the probability that the customer has filed a claim?c) Given that the customer has filed a claim, what is the probability that the customer is a good risk?
Answer:
a) 0.035 = 3.5% probability that a customer is a good risk and has filed a claim.
b) 0.0395 = 3.95% probability that the customer has filed a claim.
c) 0.8861 = 88.61% probability that the customer is a good risk
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that the customer is a good risk and has filed a claim?
70% are good risks.
Of those, 0.5% file a claim. So
[tex]0.7*0.05 = 0.035[/tex]
0.035 = 3.5% probability that a customer is a good risk and has filed a claim.
b) What is the probability that the customer has filed a claim?
0.5% of 70%(good risks)
1% of 20%(medium risks)
2.5% of 10%(poor risks). So
[tex]0.05*0.7 + 0.01*0.2 + 0.025*0.1 = 0.0395[/tex]
0.0395 = 3.95% probability that the customer has filed a claim.
c) Given that the customer has filed a claim, what is the probability that the customer is a good risk?
0.0395 = 3.95% probability that the customer has filed a claim means that [tex]P(A) = 0.0395[/tex]
0.035 = 3.5% probability that a customer is a good risk and has filed a claim means that [tex]P(A \cap B) = 0.035[/tex]
Thus
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035}{0.0395} = 0.8861[/tex]
0.8861 = 88.61% probability that the customer is a good risk
Need help
Nnsndndndnddn
Answer:
A. x = 50
Step-by-step explanation:
x° + (x + 10)° + (x + 20)° = 180° (sum of interior angles of a triangle)
Solve for x
x + x + 10 + x + 20 = 180
Add like terms
x + x + x + 10 + 20 = 180
3x + 30 = 180
Subtract 30 from each side
3x + 30 - 30 = 180 - 30
3x = 150
Divide both sides by 3
3x/3 = 150/3
x = 50
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
£90 more
Step-by-step explanation:
4+1=5
150/5=30
I:T
4:1 ×30
120:30
120-30=90
Justin earns $75 per week . How much does he earn in 30 weeks
Answer:
$2,250
Step-by-step explanation:
$75=1 week
$75×30=$2,250
Write down the general equation of the normal distribution
The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.
Determine the length of AC¯¯¯¯¯¯¯¯.
chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years
Answer: Rs 7600
Step-by-step explanation:
The interest will be calculated as:
= Principal × Rate × Time
= 40000 × 5% × 4
= 40000 × 0.05 × 4
= 8000
Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:
= 8000 - (5% × 8000)
= 8000 - (0.05 × 8000)
= 8000 - 400
= 7600
Therefore, he'll get Rs 7600
Help&Show ur work plz<3
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The chords subtended by equal arcs are equal.
Therefore,
[tex]2x + 4 = 18[/tex][tex]2x = 14[/tex][tex]x = 7[/tex]Hence, value of x = 7
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Write an explicit formula for an, the nth term of the sequence 1, 11, 21
Answer:
an = 10n - 9.
Step-by-step explanation:
This is arithmetic with first term a1 = 1 and common difference 10.
an = a1 + d(n-1)
= 1 + 10(n - 1)
= 1 + 10n - 10
= 10n - 9.
Pls help me ASAP show work please
Answer:
$3.48 for each pair of socks.
Step-by-step explanation:
It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.
They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.
10 - 3.04 = 6.96
Then divide $6.96 by 2 pairs of socks
6.96/2 = $3.48 for each pair of socks.
The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
explain or not idc lol
Answer:
B, 20,000
Step-by-step explanation:
429 X 48 = 20,598
If you estimate, it would be 20,000.
So, there you know B, 20,000 is your answer.
Help please!!!!!!!!!!!!!!!
Answer:
-1, 5
Step-by-step explanation:
no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1
If 6x=48 find the value of 53-7x (A.) 5 (B) -3 (C) -5 (D) 3
Answer:
The answer is -3.
Step-by-step explanation:
If 6x=48, the answer for x is 8. And from there, I did 7(8). And then 53-56 and got -3.
Can someone help me with think fast?
Answer:
124
Step-by-step explanation:
A supplementary angle is 180
180-56=124
which of the following is equivalent to (5-7i)(5-7i)
Answer:
Step-by-step explanation:
Here we are multiplying together two complex numbers which happen to be identical: both are 5 - 7i).
This is also "the square of 5 - 7i: (5 - 7I)^2
In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i
What is the missing numerator?
4/6 - ?/8 = 14/48
A.) 05
B.) 04
C.) 03
D.) O2
Just Ignore Q5 if you don’t know so plz don’t answer plz give me the answer of Q3 fast fast
Answer:
2x + 4 = 6x
68 = 6x
6 6
11.33
11.3 = x
Angle 3 and angle 8 are corresponding. So we firstly find 2x + 4 which is 6x
Since we are looking for x we divide 68 from 6 which gives u 11.3
Karen has calls has 500 or 900 yards of thick soft wool, she has 200 feet at the strore they have 500 feet of wool. How many balls should she buy
Answer:
Yes.
Step-by-step explanation:
Because yes.
=
3x-2
6
which of the following is the inverse of f(x)?
2x-3
6
O A. f-'(x) = 2x
O f-
B. F'(x) = 6452
O C. F'(x) = 6*+2
O D. F'(x) = 2***
Answer:
i thi nk correct answer is b so
The length of a rectangle is 4 inches less than twice its width. If the perimeter of the rectangle is 64 inches, what are the dimensions of the rectangle?
Show work please
Answer:
Step-by-step explanation:
I have 225 in my account I can spend all but 20%
Answer:
20 % is 45 so keep this much remaining
Step-by-step explanation:
Answer:
You can spend 80%. Multiple 225 × 0
80. 225×0.80 = 180. Now you will have $180
Step-by-step explanation:
Have a great day and summer.
Please can somebody help me please!
Answer:
h = 12 ft
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
A = 24b
b = 2b
Work:
A = bh
24b = 2b(h)
h = (24b)/(2b)
h = 12
Warner was paid $375.25 for working 25 hours. What was his hourly pay?
Answer:
$15.01 an hour
Step-by-step explanation:
[tex]\frac{375.25}{25}=15.01[/tex]
I REALLY NEED HELP WITH THIS!!!! I NEVER LEARNED THIS BEFORE!!!!! HEELLLPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
just is
Answer:
C
Step-by-step explanation:
5/6 + 1/12 need the same denominator.
(5/6) * 2
10/12 + 1/12
11/12
This is almost one whole, ( 11/12 ~ 1) therefore, C is the best answer.
Have a great day! Hope I helped!
Express 367 as a number in base 5
Answer:
[tex] = 367 \div 5 = 73 \: rem5 \\ = 73 \div 5 = 14 \: rem6 \\ = 14 \div 5 = 2 \: rem8 \\ = > 2865 _{five}[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X + 5y = -20
Answer:
[tex]y = \frac{-1}{5}x -4[/tex]
Step-by-step explanation:
[tex]x + 5y = -20\\\\5y = -x - 20\\\\y = \frac{-1}{5}x - 4[/tex]
The cost of 3 pounds of grapes is $9.75. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x? pls help, its due by the end of the day (3 pm)
Answer:
3.75
Step-by-step explanation:
We can write a ratio to solve
3 lbs x lbs
---------- = -----------
9.75 y dollars
Using cross products
3y = 9.75 x
Divide each side by 3
3y/3 = 9.75x/3
y =3.75x
The constant is 3.75
92.6% of 738 toy robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.
Answer: D. n/738 = 92.6/100 ;683 robots
Explantion: cross multiply 738 x 92.6 then divide by 100
Please someone help me here....
Answer:
n > 62
Step-by-step explanation:
All values in the set are greater than 62.
Answer: n > 62
Answer:
Top left corner
Step-by-step explanation: