Question

Suppose that X1,...,X81 are independent random variables with probability density function fX(x) = 0.5exp(−x/2), x >...

Suppose that X1,...,X81 are independent random variables with probability density function fX(x) = 0.5exp(−x/2), x > 0. Approximate P(X1 +···+ X81 > 170).

A. 0.67 B. 0.16 C. 0.33 D. 0.95 E. none of the preceding

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that X1 and X2 are independent continuous random variables with the same probability density function...
Suppose that X1 and X2 are independent continuous random variables with the same probability density function as: f(x) = ( x 2 0 < x < 2, 0 otherwise. Let a new random variable be Y = min(X1, X2,). a) Use distribution function method to find the probability density function of Y, fY (y). b) Compute P(Y > 1). c) Compute E(Y )
Suppose that X1 and X2 are independent continuous random variables with the same probability density function...
Suppose that X1 and X2 are independent continuous random variables with the same probability density function as: f(x) = ( x 2 0 < x < 2, 0 otherwise. Let a new random variable be Y = min(X1, X2,). a) Use distribution function method to find the probability density function of Y, fY (y). b) Compute P(Y > 1).
5) Let X1, X2, and X3 be independent random variables with the following probability density function,...
5) Let X1, X2, and X3 be independent random variables with the following probability density function, f(x) = 2 − 2x for 0 < x < 1; f(x) = 0 otherwise. a) Find the probability that X1 exceeds 1/2. b) Find the probability that exactly one of the three variables exceeds 1/2. 6) The pdf of X is fX(x) = 4xe−2x , x > 0. a) Find E(X). b) Find Var(X). 7) The joint pdf of X and Y is...
Let X and Y be a random variables with the joint probability density function fX,Y (x,...
Let X and Y be a random variables with the joint probability density function fX,Y (x, y) = { cx2y, 0 < x2 < y < x for x > 0 0, otherwise }. compute the marginal probability density functions fX(x) and fY (y). Are the random variables X and Y independent?.
Let X and Y be a random variables with the joint probability density function fX,Y (x,...
Let X and Y be a random variables with the joint probability density function fX,Y (x, y) = { e −x−y , 0 < x, y < ∞ 0, otherwise } . a. Let W = max(X, Y ) Compute the probability density function of W. b. Let U = min(X, Y ) Compute the probability density function of U. c. Compute the probability density function of X + Y .
Consider the random variables X and Y with the following joint probability density function: fX,Y (x,...
Consider the random variables X and Y with the following joint probability density function: fX,Y (x, y) = xe-xe-y, x > 0, y > 0 (a) Suppose that U = X + Y and V = Y/X. Express X and Y in terms of U and V . (b) Find the joint PDF of U and V . (c) Find and identify the marginal PDF of U (d) Find the marginal PDF of V (e) Are U and V independent?
Let fX,Y be the joint density function of the random variables X and Y which is...
Let fX,Y be the joint density function of the random variables X and Y which is equal to fX,Y (x, y) = { x + y if 0 < x, y < 1, 0 otherwise. } Compute the probability density function of X + Y . Referring to the problem above, compute the marginal probability density functions fX(x) and fY (y). Are the random variables X and Y independent?
Continuous random variables X1 and X2 with joint density fX,Y(x,y) are independent and identically distributed with...
Continuous random variables X1 and X2 with joint density fX,Y(x,y) are independent and identically distributed with expected value μ. Prove that E[X1+X2] = E[X1] +E[X2].
Suppose that the joint probability density function of the random variables X and Y is f(x,...
Suppose that the joint probability density function of the random variables X and Y is f(x, y) = 8 >< >: x + cy^2 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 0 otherwise. (a) Sketch the region of non-zero probability density and show that c = 3/ 2 . (b) Find P(X + Y < 1), P(X + Y = 1) and P(X + Y > 1). (c) Compute the marginal density function of X and Y...
Let each of the independent random variables X1 and X2 have the density function f(x) -...
Let each of the independent random variables X1 and X2 have the density function f(x) - e^-x for 0<x< inf., and f(x) = 0, otherwise. What is the joint density of Y1 = X1 and Y2 = 2X1 + 3X2 and the domain on which this density is positive?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT