Consider a binomial random variable with n = 45 and p = .05. Fill in the blanks below to find some probabilities using the normal approximation.

a. Can we use the normal approximation? Calculate np = ________ and nq = ________

b. Are np and nq both greater than 5? Yes ________ No ________

c. If the answer to part b is yes, calculate μ = np = ________ and σ = ________ √n
pq ________

d. To find the probability of 10 or fewer successes, what values of x should be included? x = ________

e. To include the entire block of probability for the first value of x = ________, start at ________.

f. Calculate z = x ± .5 - np/√npq = ________.

g. Calculate P(x ≤ 10) ≈ P(z < ________) = ________.