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

What is the value of k?

help!!!!

Answers

Answer:

k = 10°

Step-by-step explanation:

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]

please help me asap!!!!

Answers

Answer: POSSIBLY B

Step-by-step explanation:

please help me for my practice problems​

Answers

Equation of a line: y = mx + b
m = slope(rise/run), b = y-intercept


1/2
y = 1/2x - 3

-7/4
y = -7/4x +4

-1/2
y = -1/2x - 3

-1/4
y = -1/4x + 2

1
y = x

-1
y = -x

PLEASE HELP
answer both of the questions in the photo please

Answers

Answer:

-6

11

Step-by-step explanation:

-6n-5=31

-6n=36

n=-6

-28=-3n+5

3n=5+28

3n=33

n=11

Bailey wants to find 0.4 × 0.9. Part A Which of the following grids models the problem? A. Hundred grid. Four grid blocks shaded horizontally and nine grid blocks shaded vertically. The intersection is one grid block. B. Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks. C. Hundred grid. Six columns shaded vertically and one row shaded horizontally. The intersection is 6 grid blocks. D. Hundred grid. Eight columns shaded vertically and three rows shaded horizontally. The intersection is 24 grid blocks.

Answers

Answer:

B

Step-by-step explanation:

It seems like the answer would be B since 0.4 x 0.9 = 0.36 and the intersection for answer choice B is 36 grid blocks.

The correct equation of the given grids models the problem is,

⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.

Option B is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Bailey wants to find the value of 0.4 × 0.9.

Now,

After multiplication, we get;

⇒ 0.4 × 0.9

⇒ 0.36

Hence, By all the options;

The correct equation of the given grids models the problem is,

⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.

Option B is true.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.​

Answers

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]

Opening the brackets,

[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]

Opening the next brackets,

[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]

So,

[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]

Hence, the product is,

[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]

can anyone heelp me pls pls

Answers

Answer:

3. Lotion

2. Suspension

1. Capsule

Which equation is true when the value of "y" is 3 ? PLEASE HELP. NO LINKS! A: 2y -3 =6
B: 3y -2 =6
C: 11y +4 = 37
D: 4y +11 =37

Answers

Answer: Choice C)  11y+4 = 37

Explanation:

If we replaced y with 3 in choice A, then we get

2y-3 = 6

2(3)-3 = 6

6-3 = 6

3 = 6

which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.

Choice C is the answer because,

11y+4 = 37

11(3)+4 = 37

33+4 = 37

37 = 37

which is true. This confirms choice C.

1/5×8 simplified =?!?!

Answers

your answer is 8/5 as an improper fraction simplified

Answer:

the answer is 1.6

Step-by-step explanation:

solve the following system using substitution y=x^2+8x+12, y=-2x-13

Answers

Step-by-step explanation:

Given equations :-

y = x²+ 8x + 12y = 2x - 13

Substitute (2) in (1) :-

2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4i

heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry

Answers

Answer:

29in

pls give brainliest tq

have a great day

29in!!
hope this is correct <33

which is equivalent to 2 5/6?
A. 5/3
B. 12/5
C. 7/6
D. 17/6


(IF YOU ARE ABLE TO, PLEASE PROVIDE AN EXPLANATION FOR THE ANSWER)

Answers

I think it would be 12/5 that is what I think

Which can be used to prove that lines P and Q are parallel?
A)same-side exterior angle theorem
B)converse of the alternate interior angles theorem
C)converse of the same-side interior angles theorem
D)converse of corresponding angles postulate

Answers

Answer:

B

Step-by-step explanation:

the converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles then the lines are parallel.

I NEED HELP OR I WILL GET A FAT F!!! What Is 6.38 times 5.2 rounded product to the nearest whole number!!!

Answers

Answer:

33.176

Step-by-step explanation:

use the given zero to find all the zeros of the function.

g(x)= 3x^3+11x^2+11x-5
zero: -2+i

Answers

Answer:

11x + 5

Step-by-step explanation:

Which raito is less than 7/15?

A. 9/15
B. 2/5
C. 3/5
D. 24/45

Answers

Answer:

Step-by-step explanation:

Simply convert them to decimals...

7/15=0.466666...

9/15=0.6

⅖=0.4

⅗=0.6

24/45=0.53333...

Hope this helps.

Identify the axis of symmetry of the parabola.
What would be the right answer?

Answers

Answer:

x=-3, That is the x value of the vertex, and it is a vertical parabola.

fifteen minutes past eight in the evening on a 24 hour clock​

Answers

Answer: The time is 20:15 on a military time clock.

Step-by-step explanation:

Which of the following inequalities is represented by the number line?
Question 9 options:

A)

x ≥ 1

B)

x < 1

C)

x > 1

D)

x ≤ 1

Answers

Solid dot with line (arrow) to right so A) x>= 1 is correct

Answer:

Step-by-step explanation:

x ≥ 1

Hope this helps!

close circle = ≥ or ≤

open circle = > or <

positive number = going to the right

negative number = going to the left

An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. The drain pipe can be used to empty the pool in 34 hours. If the pool is [tex]\frac{2}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.

Answers

Answer:

374 hours

Step-by-step explanation:

Filling rate is 1/33Draining rate is 1/34

The difference is the filling rate with both lines open:

1/33 - 1/34 = 1/1122

The pool is 2/3 full and needs filling the remainder, 1/3.

Time required to fill:

1/3 : 1/1122 = 1122/3 = 374 hours

Please answer will mark BRAINILEST!!

Answers

Answer:

Coordinates A and B: (1, 0) and (3, 0)

Coordinates of P: (0, 3)

Coordinates of Q: (2, -1)

Step-by-step explanation:

You're pretty much given the x-intercepts from the original equation.

y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,

0 = (x - 1)(x - 3).

and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:

0 = (1 - 1)(1 - 3)

0 = 0 * (-2)

So there are your x-intercepts, points A and B.

Now,

Expand the brackets of the equation.

y = (x - 1)(x - 3) becomes

y = x^2  -  4x  + 3

You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:

y = 0^2 - 4*0 + 3

y = 0 - 0 + 3

y = 3

So, we have our y-intercept (0, 3).

Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a

Taking our expanded equation: x^2 - 4x + 3

which is of the form ax^2 + bx + c

So we find the values of a, b and c and input the values into the equation

a = 1

b = -4

c = 3

So, inputting these into the vertex equation, gives:

-(-4) / 2 * 1

4 / 2

2

So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:

y = 2^2 - 4*2 + 3

y = 4 - 8 + 3

y = -1

So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).

i need you to explain the answer please and thank you!!

Answers

Answer: January, because negative numbers are positive numbers' opposite; so -11.4 < -10.4

I have more question then this

Answers

Answer:

A. A reflection over the x-axis

Answer:

this is A, a reflection over the x axis

What is the equation of the line that has a slope of 3 and a​ y-intercept of​ 2?

Answers

The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.

Using the slope and y intercept given the equation is:

Y = 3x + 2

The ____ juice is made with a greater percent of water.

Answers

Answer:

Orange and apple

Step-by-step explanation:

Mark brainliest, isaac farts all the time u don’t want him to fart on u next

Also need help with this question 4 x −5 =

Answers

Answer:

the equation is not completed

Answer:

-20

Step-by-step explanation:

Multiply 4x5 which is 20 but since 5 is negative then it's -20

What is the system of measurement used most often in the United States?
customary
converted
metric
similar

Answers

Answer:

metric po

Step-by-step explanation:

measurements and metric units of measure

1
TIME REMAINING
59:10
Which graph has a slope of ?
2
سا
-1.
-5-4
-2-1
11
-21,
1 2 3 4 5
-2
-3
-3
-5

Answers

Answer:

5

Step-by-step explanation:

i say 5 it makes more sens then the other answers

The graph which have slope 4/5 is Graph II.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the graph.

As, we know slope= rise / run

In graph 1 the slope is

Slope= rise/ run

slope= 4/4

slope= 1

In graph 2 the slope is

Slope= rise/ run

Slope = 4/5

In graph 1 the slope is

Slope= rise/ run

Slope= 2/5

Thus, Graph II have slope 4/5.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12

Answers

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

The graph of y=3+2x-x^2 is shown.
Please answer will mark BRAINELIST

Answers

Answer:

turning point: (1, 4)

Roots: (-1, 0), (3, 0)

Step-by-step explanation:

The turning point is the vertex of the parabola, which occurs at point (1, 4).   The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).

Other Questions
question in the pictureee this is overdue and i need to turn it in quickkk what is the type of software that locks your device until you pay a hacker to gain access again? Define discreet and use it in a sentence They were the main cities of Ancient Egypt and both on the River Nile. What are these two main cities? pls answer the probability distribution of all possible values of the sample proportion is the bonjour , c'est a rendre pour demain , pourriez vous m'aider ? 52 Where did Hugh Capet establish his capital of France?A MarseillesB OrleansC AvignonD Paris drawing district lines to advantage one party is known as IF YOU DO NOT ANSWER YOU WILL BE REPORTED! is it normal for heat to smell when first turned on How much is does 810 equal to? A car slows to a velocity of 20 m/s and weighs 20 kg. Does the car have momentum? If so, what is the momentum of the car? A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes? 3 (1 2t) = 3t + 5 !! Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements. 1 1/3 of 15[tex]\frac{x}{y}[/tex] Social media has improved human Communitation debate Which expression is equivalent to :8.5p + 3.6q - (9.8q - 2.1p)A.10.6p - 6.2qB.6.4q - 6.2qC.1.3p - 1.5qD.1.3p + 5.7q given the right triangle ABC with the altitude BD drawn to hypotenuse. please help asap ive failed this so many times Which of the following are correct ways of providing evidence to support the theis of research paper