Question

Let X be a Poisson random variable with parameter λ and Y an independent Bernoulli random...

Let X be a Poisson random variable with parameter λ and Y an independent Bernoulli random variable with parameter p. Find the probability mass function of X + Y .

Homework Answers

Answer #1

Answer:

NOTE:: I HOPE THIS ANSWER IS HELPFULL TO YOU......**PLEASE SUPPORT ME WITH YOUR RATING......

**PLEASE GIVE ME "LIKE".....ITS VERY IMPORTANT  FOR,ME......PLEASE SUPPORT ME .......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 random variables following Poisson distributions, each with parameter λ =...
Let X and Y be independent random variables following Poisson distributions, each with parameter λ = 1. Show that the distribution of Z = X + Y is Poisson with parameter λ = 2. using convolution formula
Let X be a Poisson random variable with parameter λ > 0. Determine a value of...
Let X be a Poisson random variable with parameter λ > 0. Determine a value of λk that maximizes P(X = k) for k ≥ 1.
Let X follow Poisson distribution with λ = a and Y follow Poisson distribution with λ...
Let X follow Poisson distribution with λ = a and Y follow Poisson distribution with λ = b. X and Y are independent. Define a new random variable as Z=X+Y. Find P(Z=k).
1. Show that if X is a Poisson random variable with parameter λ, then its variance...
1. Show that if X is a Poisson random variable with parameter λ, then its variance is λ 2.Show that if X is a Binomial random variable with parameters n and p, then the its variance is npq.
a. Suppose X and Y are independent Poisson random variables, each with expected value 2. Define...
a. Suppose X and Y are independent Poisson random variables, each with expected value 2. Define Z=X+Y. Find P(Z?3). b. Consider a Poisson random variable X with parameter ?=5.3, and its probability mass function, pX(x). Where does pX(x) have its peak value?
A Poisson random variable is a variable X that takes on the integer values 0 ,...
A Poisson random variable is a variable X that takes on the integer values 0 , 1 , 2 , … with a probability mass function given by p ( i ) = P { X = i } = e − λ λ i i ! for i = 0 , 1 , 2 … , where the parameter λ > 0 . A)Show that ∑ i p ( i ) = 1. B) Show that the Poisson random...
Let X be an exponential random variable with parameter λ > 0. Find the probabilities P(...
Let X be an exponential random variable with parameter λ > 0. Find the probabilities P( X > 2/ λ ) and P(| X − 1 /λ | < 2/ λ) .
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Derive the joint probability distribution function for X and Y. Make sure to explain your steps.
Let X~Poisson(4) random variable and Y an independent Bin(10,1/2) random variable. (a) Use Markov's inequality to...
Let X~Poisson(4) random variable and Y an independent Bin(10,1/2) random variable. (a) Use Markov's inequality to find an upper bound for P(X+Y > 15). (b) Use Chebyshev's inequality to find an upper bound for P(X+Y > 15)
Consider a succession of independent Bernoulli tests of parameter p. Let X be the number of...
Consider a succession of independent Bernoulli tests of parameter p. Let X be the number of failure before the first success and Y the number of failure between the first success and the second. a) Calculate the joint density function of X and Y. b) Calculate the conditional density function of X given Y = y. c) Calculate the conditional density function of Y given X = x. d) Are the variables X and Y independent? Argue your answer.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT