A gardener buys a package of seeds. Seventy-six percent of seeds of this type germinate. The gardener plants 110 seeds. Approximate the probability that fewer than 77 seeds
Germinate.
A) 0.0559
B) 0.9599
C) 0.9441
D) 0.0401

Question

Quizplus · Accepted Answer

The problem can be approximated using a normal distribution with mean np = 110 * 0.76 = 83.6 and standard deviation sqrt(np(1-p)) = sqrt(110 * 0.76 * 0.24) ≈ 4.58. Converting 77 to a z-score and using a standard normal distribution table gives a probability of approximately 0.0559.

A Gardener Buys a Package of Seeds