Question

Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)nq > 10 np > 5 p > 0.5 np > 10 p < 0.5 nq > 5What is the probability of "12" or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

Answer 1

The question is incomplete! Complete question along with answers and step by step explanation is provided below.

Question:

(a) Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial? (Select all that apply.)

nq > 10

np > 5

p > 0.5

np > 10

p < 0.5

nq > 5

(b) What is the probability of "12" or fewer successes for a binomial experiment with 20 trials. The probability of success on a single trial is 0.50. Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

Answer:

(a) The correct options are np > 5 and nq > 5

(b) P(x ≤ 12) = 0.8133

Step-by-step explanation:

Please refer to the attached images for explanation, I am unable to type in text editor due to some technical error!