4.7 Distribution of sum of independent uniform RVs. A RV Y is the sum of 500 independent and identically distributed RVs X1, X2, . . . , X500. Each Xi is uniformly distributed over (1, 2). Find the mean and variance of Y . Give an approximate distribution or PDF of Y and justify your answer. What is the probability that Y is larger than 750

Answers

Answer 1

Answer:

Let X1,X2,...,Xn be i.i.d. random variables with expected value EXi=μ<∞ and variance 0<Var(Xi)=σ2<∞. Then, the random variable

Zn=X¯¯¯¯−μσ/n−−√=X1+X2+...+Xn−nμn−−√σ

converges in distribution to the standard normal random variable as n goes to infinity, that is

limn→∞P(Zn≤x)=Φ(x), for all x∈R,

where Φ(x) is the standard normal CDF.

Step-by-step explanation:


Related Questions

Cotabato was struck by a series of quakes from June I to 3, 2013. The first was a 5.7 earthquake on June 1, followed by 15 aftershocks. A 4.3 and a 5.7 quake were recorded on June 2 and 3. respectively. How much more powerful was the first earthquake than the proceeding ones?​

Answers

Step-by-step explanation:

Don't mind me, just tryna get those points

Alonso is buying a new phone for $ 870
on the installment plan. He must put
down 15% and pay monthly payments
for one year. How much is each monthly
payment?
A.$13.05
B.$83.38
C. $61.63
D. $10.77

Answers

Answer:

A

Step-by-step explanation:

1. Get 15% of 870:

   First, get 10 percent of 870, which is 87, then half that, which is 43.5

   Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

hey i need help with how to multiply 8/9 and 1/4. HELP ME OOOUUUUTTTT!!!!!!!!!!!!!!

Answers

Answer:  2/9

Explanation:

Multiply the numbers up top: 8*1 = 8

Multiply the numbers in the bottom: 9*4 = 36

The two fractions 8/9 and 1/4 multiply to 8/36. Reduce this to 2/9 after dividing both parts by the GCF 4.

In other words,

8/4 = 2

36/4 = 9

Hello there! :)

When multiplying fractions, we multiply the numerator times the numerator and the denominator times the denominator. We reduce if it's necessary.

So multiply:

[tex]\frac{8}{9} *\frac{1}{4} \\[/tex]

Reduce and get:

[tex]\frac{2}{9} *\frac{1}{1} \\\frac{2}{9}[/tex]

And that's our final answer. Hope it helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

The least common multiple of the numbers 15, 12, 8

Answers

Answer: LCM of 8, 12, and 15 is 120.

Step-by-step explanation:

I hope this helps!

Answer:

2 and 1

Step-by-step explanation:

1 is the best which can go into

8 15 and 12

What does 2-for-1 split mean

Answers

Answer:

you two shares for every one share of a company you own

Step-by-step explanation:

help me guys l don't know this ??????​

Answers

PEMDAS is the order of operations. Here’s how to solve this expression:

Expression: 15+14 ÷ 2-4•5

1.) Parentheses: there are no parentheses to
simply.
2.) Exponents: there are no exponents to
simply.
3.) Multiplication and Division: multiplication and division have an equal relationship meaning one operation doesn’t have a priority over the other. So, we work left to right as to what operation comes first.

In the expression 15+14 ÷ 2-4•5, we see that 14 ÷ 2 comes first because it’s to the left.

14 ÷ 2 = 7

15+(7)-4•5 after division, now we need to multiply.

-4•5 = -20

Therefore, 15+(7)-(20) is the simplification.

4.) Addition and Subtraction: addition and subtraction come after multiplication and division and also have an equal relationship. So again, we work left to right as to which operation comes first.

In the expression 15+7-20, 15+7 comes before 7-20.

15+7 = 22

So, (22)-20 after addition. Now we need to subtract.

22-20 = 2. That’s your answer!

Directions: Find the value of x.​

Answers

I think it would be 12.207… use the Pythagorean theorem (a^2+b^2=c^2) so 10^2+7^2
100+49=149
Then take square root of 149 to undo the the squaring of c and it should be around 12.207 :)

Answer:

approximately 7 cm

Step-by-step explanation:

I’m not absolutely sure so double check

Guided Practice


Find the slope of a line parallel to y=1/2x+2.3.


A.
1/2


B.
−1/2


C.
2

Answers

B -1/2. Hope this helps

Answer:

A. 1/2

Step-by-step explanation:

GradPoint answer

I got it correct on the lesson.

do
any one need points​

Answers

Thanks for the points appreciate it hope you have a good day

A) HL
B) Not enough information
C) AAS
D) SAS

Answers

A) HL

The 90° angle is vertical angles with the other unidentified angle

house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain

Answers

Answer:

2085 feet

Step-by-step explanation:

If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.

He need to walk 2085 more miles to get to the library

A truck can be rented from Company A for ​$70 a day plus ​$0.50 per mile. Company B charges ​$40 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer: 300 miles, $220

Step-by-step explanation:

Add, answer as a fraction:

1/15 + 3/12

A) 10/67
B) 12/27
C) 19/60
D) 4/27

Answers

It’s CCCCCC. Do you want me to tell you why or nah

Answer:

Hello, There! I'll be glad to help!

Question

1/15 + 3/12

Answer

[tex]\boxed{Option ~C. ~19/60}[/tex]

Step-by-step explanation:

[tex]\frac{1}{15} +\frac{3}{12} =\frac{1 ~x~4}{15~x~4} +\frac{3~x~5}{12~x~5} =[/tex]

[tex]\frac{4}{60} +\frac{15}{60} = \frac{19}{60}[/tex]

Therefore, Your Answer is (Option C.)

What is the range of the given function ?

Answers

Answer:

6740

Step-by-step explanation:

Answer:

There is no function provided

FYI

Domian is all x-values

range is all y-values

For ex..

(-3,6)

-3 is domain

6 is range

Step-by-step explanation:

Which conversion factor would you use to convert from meters to feet? 0.3048 m 1 ft 0.3048 m 1.61 miles 1 km 1 in. 2.54 cm​

Answers

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

Plz help me with math well mark brainliest!

Answers

Answer:

15 is divided by a number

help me guys I don't get this !!!​

Answers

Answer:

-2.5, 0.75

Step-by-step explanation:

When we need to find a solution to a system of equations using a graphing tool, we graph those two equations and find the point of intersection.

This is an informative article on how to do that:

https://www.dummies.com/education/graphing-calculators/how-to-find-points-of-intersection-on-the-ti-84-plus/

The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.

What is the distance from Earth to the moon?

Answers

Answer:

vggyyrt5 gf t66t6

Step-by-step explanation:

yy dry t6t ty y yuri u fry uu huf yy875

y=2/3x constant of proportionality

Answers

Answer:

Looking at the equation, k=23 is our constant of proportionality because 23 is the constant number we multiply x by.

Is 500 hrs a thing? Cause my question is: Every hour you get $10, how many hours till you get to $5,000? The answer should be 500 hrs, I don't know if that's an hour

Answers

Answer:

500 Hours

Step-by-step explanation:

Yes you are right, 500 hours is not an hour and I doubt anyone can work that much, there are only 168 hours in a single week.

If we're talking reality, it would take well over a few weeks.

If its just math then yeah you would get 500.

Either way, 500 is the right answer.

PLS HELP AND DONT PUT LINKS
Explain how to graph a scatterplot and its regression line using a regression calculator​

Answers

before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line

Harry filled the 75 L gas tank of his pickup truck for $73.88. Stan paid 95¢/L to fill up his truck. Who paid less per litre for fuel?

Answers

Answer:

stan

Step-by-step explanation:

Stan paid less price per liter of gas which is $0.95 per liter.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Harry filled the 75 L gas tank of his pickup truck for $73.88.

Therefore, The cost of 1L of gas is $(73.88/75) = $0.98 per liter.

And Stan paid $0.95 per liter, So Stan paid less per liter of fuel.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Graph and solve the following system.


у= 2x + 3

y = -2x + 3

Answers

graphed in the image attached with points,

hope this helps :D

Which of the following equations has both -6−6minus, 6 and 666 as possible values of ccc?
Choose all answers that apply:
(Choice A)
c^2 = 36c
2
=36c, squared, equals, 36

(Choice B)
c^3 = 216c
3
=216c, cubed, equals, 216

(Choice C)
None of the above

Answers

Answer:

It's the Choice A c² = 36

A package of 3 pairs of insulated gloves costs ​$16.47. What is the unit price of the pairs of gloves​?

Answers

Answer:

$5.49 per pair of gloves

Step-by-step explanation:

16.47/3=5.49

Answer:

do 16.47 divided by 3  and thats ur answer

Step-by-step explanation:

the answer is $5.49  for 1 pair of gloves

9.65180 to the nearest tenth

Answers

Answer:

9.7

Step-by-step explanation:

A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?

Answers

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

Hi, I need help with homework on review for test.

Answers

Answer:

-24+48i

Step-by-step explanation:

yan po ata sagot

write an expression in factored form for the polynomial of least possible degree graphed below.

i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!

Answers

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4)   ... curve touch (-4,0) and not cross x axis

x=0   f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

Consider the following 8 numbers, where one labelled
x
is unknown.

5
,


31
,


31
,


x
,


31
,


34
,


10
,


48


Given that the range of the numbers is 67, work out 2 values of
x
.

Answers

9514 1404 393

Answer:

  x = -19 or 72

Step-by-step explanation:

The range of the given numbers is 5 to 48. In order for x to make the range be 67, the value of x must be 67 less than 48, or must be 67 greater than 5.

  x is 48 -67 = -19

or

  x is 5 +67 = 72

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