Question

If X and Y are independent Binomial random variables, both with parameters n and p, calculate...

If X and Y are independent Binomial random variables, both with parameters n and p, calculate the conditional distribution of X given that X + Y = m. Can you recognize the distribution?

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
If X ~ Binomial (n, p) and Y ~ Binomial (m, p) are independent variables with...
If X ~ Binomial (n, p) and Y ~ Binomial (m, p) are independent variables with the same probability p, what is the distribution for Z=X+Y? Is it still a binomial distribution? Write out the pdf for Z if it is binomial, otherwise, explain why it is not. What about W = X-Y, is it a binomial distribution? Write out the pdf for W if it is binomial, otherwise, explain why it is not.
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 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.
Independent random variables X and Y follow binomial distributions with parameters(n1,θ) and (n2,θ). Let Z =X+Y....
Independent random variables X and Y follow binomial distributions with parameters(n1,θ) and (n2,θ). Let Z =X+Y. What will be the distribution of Z? Hint: Use moment generating function.
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. Using the joint pdf function of X and Y, set up the summation /integration (whichever is relevant) that gives the expected value for X, and COMPUTE its value.
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. Using the joint pdf function of X and Y, set up the summation /integration (whichever is relevant) that gives the expected value for X, and COMPUTE its value.
Show that if two binomial random variables X ∼ Bin(a,p) and Y ∼ Bin(b,p) are independent,...
Show that if two binomial random variables X ∼ Bin(a,p) and Y ∼ Bin(b,p) are independent, then X + Y ∼ Bin(a + b, p), using the technique of moment generating function.
Let X be a binomial random variable with parameters n = 500 and p = 0.12....
Let X be a binomial random variable with parameters n = 500 and p = 0.12. Use normal approximation to the binomial distribution to compute the probability P (50 < X ≤ 65).
Suppose X, T are independent exponential random variables with parameters λX and λT . Find the...
Suppose X, T are independent exponential random variables with parameters λX and λT . Find the conditional density of X given X < T .
X, T are independent exponential random variables with parameters Lambda(X) and Lambda(T). Find the conditional density...
X, T are independent exponential random variables with parameters Lambda(X) and Lambda(T). Find the conditional density of X given X<T
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT