(a) Review the hypergeometric distribution.
(b) Pr(Y ≤ 3) - Pr(Y = 0).
(a) Use the Change of Variable Theorem. I assume you have been taught it. Where are you stuck?
(b) Can f(a, b) be written in the form g(a) h(b)?
1.A receiving depot receives a shipment of 100 generators, 5 of which are defective.
Four are selected at random without replacement for inspection. LetY
be the number of defectives.
(a) What is the probability mass function ofY ?
(b) Calculate P(1 ≤ Y ≤ 3).
2. Suppose the density of X is given by
0 otherwise
Use the moment generating function to calculate Var (X).
3.
LetX and Y be independent normal random variables, each having parameters μ and σ2.
(a) Compute the joint density of A = X + Y and B = X − Y .
(b) Are A and B independent?
(a) Review the hypergeometric distribution.
(b) Pr(Y ≤ 3) - Pr(Y = 0).