A binomial probability distribution has p = 0.45 and n = 100. (a) What are the mean and standard deviation? mean standard deviation (Round your answer to four decimal places.) (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. No, because np > 5 and n(1 − p) > 5. Yes, because n ≥ 30. Yes, because np > 5 and n(1 − p) > 5. Yes, because np < 5 and n(1 − p) < 5. No, because np < 5 and n(1 − p) < 5. (c) What is the probability of exactly 32 successes?