Question

Let X and Y be independent Geometric(p) random variables. (a) What is P(X < Y)? (b)...

Let X and Y be independent Geometric(p) random variables.

(a) What is P(X < Y)?

(b) What is the probability mass function of the minimum min(X, Y )?

Homework Answers

Answer #1

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X and Y be independent Geometric(p) random variables. What is P(X<Y)?
Let X and Y be independent Geometric(p) random variables. What is P(X<Y)?
(14pts) Let X and Y be i.i.d. geometric random variables with parameter (probability of success) p,...
(14pts) Let X and Y be i.i.d. geometric random variables with parameter (probability of success) p, 0 < p < 1. (a) (6pts) Find P(X > Y ). (b) (8pts) Find P(X + Y = n) and P(X = k∣X + Y = n), for n = 2, 3, ..., and k = 1, 2, ..., n − 1.
Let X1 and X2 be two independent geometric random variables with the probability of success 0...
Let X1 and X2 be two independent geometric random variables with the probability of success 0 < p < 1. Find the joint probability mass function of (Y1, Y2) with its support, where Y1 = X1 + X2 and Y2 = X2.
Let X and Y be geometric random variables with parameters 0.2 and 0.4. Find the Distribution...
Let X and Y be geometric random variables with parameters 0.2 and 0.4. Find the Distribution of min(X,Y). Please show all work.
Suppose X and Y are independent Geometric random variables, with E(X)=4 and E(Y)=3/2. a. Find the...
Suppose X and Y are independent Geometric random variables, with E(X)=4 and E(Y)=3/2. a. Find the probability that X and Y are equal, i.e., find P(X=Y). b. Find the probability that X is strictly larger than Y, i.e., find P(X>Y). [Hint: Unlike Problem 1b, we do not have symmetry between X and Y here, so you must calculate.]
Let X and Y be independent exponential random variables with respective parameters 2 and 3. a)....
Let X and Y be independent exponential random variables with respective parameters 2 and 3. a). Find the cdf and density of Z = X/Y . b). Compute P(X < Y ). c). Find the cdf and density of W = min{X,Y }.
. X,Y are absolutely continuous, independent random variables such that P(X ≥ z) = P(Y ≥...
. X,Y are absolutely continuous, independent random variables such that P(X ≥ z) = P(Y ≥ z) = e−z for z ≥ 0. Find the expectation of min(X,Y )
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 .
Let X and Y be independent discrete random variables with pmf’s: x 1 2 3 y...
Let X and Y be independent discrete random variables with pmf’s: x 1 2 3 y 2 4 6 p(x) 0.2 0.2 0.6 p(y) 0.3 0.1 0.6 What is the probability that X + Y = 7
Let X and Y be random variables, P(X = −1) = P(X = 0) = P(X...
Let X and Y be random variables, P(X = −1) = P(X = 0) = P(X = 1) = 1/3 and Y take the value 1 if X = 0 and 0 otherwise. Find the covariance and check if random variables are independent. How to check if they are independent since it does not mean that if the covariance is zero then the variables must be independent.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT