Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...

What are the possible values for (X, Y ) pairs.
Derive the joint probability distribution function for X and Y. Make sure to explain your steps.
Using the joint pdf function of X and Y, form the summation /integration (whichever is relevant) that gives the expected value for X4 + Y + 7.
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.

Solutions

Expert Solution

The Poisson PMF is

The PMF of X is .

Or,

1)The possible pairs are

Or,

2)The joint PMF is

4) Now, is found using the moment generating function.

orchestra answered 1 year ago

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