Problem 20E

Finding Binomial Probabilities In Exercise, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities.

Safety Recall Sixty-eight percent of adults would still consider a car brand despite product/safety recalls. You randomly select 20 adults. Find the probability that the number of adults who would still consider a car brand despite product/safety recalls is (a) exactly one, (b) more than one, and (c) at most one.

Solution:

Step 1 of 4:

From the given problem, we have

n = 20, p = 68%

= 0.68

The pmf of a Binomial distribution is

P(X = x) = ; x = 0, 1, 2,...., n.

Here, we have to find the probability that the number of adults who would still consider a car brand despite product/safety recalls is