(a)

By some estimates, twenty-percent (20%) of Americans have no health insurance. Randomly sample 15 Americans. Let X denote the number in the sample with no health insurance. X has a Binomial distribution of B(15, 0.2). The cumulative Binomial distribution probabilities, i.e., P(X ? c) are provided below:

Cumulative Binomial probabilitues C p = 0.2 C p = 0.2 n=15 0 0.035 8 0.999 1 0.167 2 0.398 10 3 0.648 11 4 0.836 12 5 0.939 13 6 0.982 14 0.996 15