Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
-Two percent of hair dryers produced in a certain plant are defective. Estimate the probability that of 10,000 randomly selected hair dryers, at least 219 are defective.
A) 0.0869
B) 0.0934
C) 0.0823
D) 0.9066

Question

Quizplus · Accepted Answer

Using the normal approximation to the binomial distribution, we find the mean (μ = np = 200) and standard deviation (σ = √(np(1-p)) ≈ 14). We then calculate the z-score for 218.5 (continuity correction) and find the probability that at least 219 are defective, which corresponds to choice B.

Estimate the Indicated Probability by Using the Normal Distribution as an Approximation