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)0.0823
B)0.9066
C)0.0934
D)0.0869

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 z is greater than this value, which is approximately 0.0934.

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