Question

A quality control inspector has drawn a sample of 1010 light bulbs from a recent production lot. Suppose 20%20% of the bulbs in the lot are defective. What is the probability that exactly 66 bulbs from the sample are defective? Round your answer to four decimal places.

Answer 1

Solution

Given that ,

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x}

P(X = 6) = (₁₀ C ₆) * 0.20⁶ * (0.80)⁴

= 0.0055

Probability = 0.0055

.