A gardener buys a package of seeds. Seventy-five percent of seeds of this type germinate. The gardener plants 90 seeds. Approximate the probability that the number of seeds that germinate is between 57.5 and 72.5 exclusive.

Question

Quizplus · Accepted Answer

The problem can be modeled using a normal approximation to the binomial distribution. The mean is 67.5 and the standard deviation is approximately 4.62. Using the normal distribution, the probability that the number of seeds that germinate is between 58 and 72 is approximately 0.8539.

A Gardener Buys a Package of Seeds