Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
-With n = 20 and p = 0.60, estimate P(fewer than 8).
A)0.0668
B)0.4332
C)0.0202
D)0.4953

Question

Quizplus · Accepted Answer

Using the normal approximation to the binomial distribution, we calculate the mean (μ = np = 12) and standard deviation (σ = √(np(1-p)) ≈ 2.19). Converting to a z-score for X = 7.5 (continuity correction), we find P(X < 8) ≈ 0.0202.

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