a. Let X be the random variablenumber of left handed people in a random sample of 6.

X ~ Binomial (n = 6, p = 1/5)

E(X) = ..... ?

b. Let Y be the random variablenumber of left handed people in a random sample of 25.

Y ~ Binomial (n = 25, p = 1/5)

E(Y) = ..... ?

Var(Y) = .... ?

c. Let W be the random variablenumber of left handed people in a random sample of n.

W ~ Binomial (n = ?, p = 1/5)

Require the smallest value of n such that

.

Find the smallest value of n that satisfies this inequality.