(a) What is the probability that there is at least 50% red M&Ms in the random sample? (b) What is the probability no more than one-third of the M&Ms in the random sample are red?

Question

51% of the M&Ms in a large bag of M&Ms are red. Suppose you take a random sample of 30 M&Ms from the large bag. (Round your answers to four decimal places.)

Answer 1

Compute z-score = (phat - p)/sqrt(p * (1-p)/30) for a) and b)

p = 0.51

a) phat = 0.5.

From standard normal probability table determine P(z > z-score)

b) phat = 0.333

From standard normal probability table determine P(z < z-score)