Question

Let X1 and X2 be independent Poisson random variables with respective parameters λ1 and λ2. Find...

Let X1 and X2 be independent Poisson random variables with respective parameters λ1 and λ2. Find the conditional probability mass function P(X1 = k | X1 + X2 = n).

Homework Answers

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
If X1 and X2 are independent exponential random variables with respective parameters λ1 and λ2, find...
If X1 and X2 are independent exponential random variables with respective parameters λ1 and λ2, find the distribution of Z = min{X1, X2}.
Let X1,X2,..., Xn be independent random variables that are exponentially distributed with respective parameters λ1,λ2,..., λn....
Let X1,X2,..., Xn be independent random variables that are exponentially distributed with respective parameters λ1,λ2,..., λn. Identify the distribution of the minimum V = min{X1,X2,...,Xn}.
Let X1 and X2 be independent random variables such that X1 ∼ P oisson(λ1) and X2...
Let X1 and X2 be independent random variables such that X1 ∼ P oisson(λ1) and X2 ∼ P oisson(λ2). Find the distribution of Y = X1 + X2.s
If X1 and X2 are independent exponential random variables with respective parameters 1 and 2, find...
If X1 and X2 are independent exponential random variables with respective parameters 1 and 2, find the distribution of Z = min{X1, X2}.
Let X1, X2,... be a sequence of independent random variables distributed exponentially with mean 1. Suppose...
Let X1, X2,... be a sequence of independent random variables distributed exponentially with mean 1. Suppose that N is a random variable, independent of the Xi-s, that has a Poisson distribution with mean λ > 0. What is the expected value of X1 + X2 +···+ XN2? (A) N2 (B) λ + λ2 (C) λ2 (D) 1/λ2
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.
Suppose X and Y are independent Poisson random variables with respective parameters λ = 1 and...
Suppose X and Y are independent Poisson random variables with respective parameters λ = 1 and λ = 2. Find the conditional distribution of X, given that X + Y = 5. What distribution is this?
Let X1, X2, X3 be independent random variables, uniformly distributed on [0,1]. Let Y be the...
Let X1, X2, X3 be independent random variables, uniformly distributed on [0,1]. Let Y be the median of X1, X2, X3 (that is the middle of the three values). Find the conditional CDF of X1, given the event Y = 1/2. Under this conditional distribution, is X1 continuous? Discrete?
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1...
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1 and θ2, use the distribution function technique to find the probability density of Y=X1+X2 when a) θ1 ≠ θ2 b) θ1 = θ2 7.7) With reference to the two random variables of Exercise 7.5, show that if θ1 = θ2 = 1, the random variable Z1=X1/(X1 + X2) has the uniform density with α=0 and β=1.                                      (I ONLY NEED TO ANSWER 7.7)
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1...
7.5) If X1 and X2 are independent random variables having exponential densities with the parameters θ1 and θ2, use the distribution function technique to find the probability density of Y=X1+X2 when a) θ1 ≠ θ2 b) θ1 = θ2 7.7) With reference to the two random variables of Exercise 7.5, show that if θ1 = θ2 = 1, the random variable Z1=X1/(X1 + X2) has the uniform density with α=0 and β=1.                                      (I ONLY NEED TO ANSWER 7.7)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT