Question

2. Suppose a random variable W follows a binomial distribution with parameters n = 34 and p = 0.73; that is, W-Bin(34,0.73). Rounding to 4 decimal places where necessary:

a. Calculate P(W = 26).

b. Calculate P(W > 31).

c. Calculate P(24 < W ≤ 30).

d. What is the probability that W is within one standard deviation of E (W), the expected value of W?