The probability that a radish seed will germinate is 0.7. Estimate the probability that of 140 randomly selected seeds, exactly 100 will germinate.
A) 0.0679
B) 0.9331
C) 0.0769
D) 0.0669

Question

Quizplus · Accepted Answer

The problem can be solved using the normal approximation to the binomial distribution. The mean (μ) is np = 140 * 0.7 = 98, and the standard deviation (σ) is sqrt(np(1-p)) = sqrt(140 * 0.7 * 0.3) ≈ 5.42. Using the normal approximation, the probability of exactly 100 seeds germinating is approximately 0.0669.

The Probability That a Radish Seed Will Germinate Is 0