Solve the problem.
-A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.
A)0.69
B)0.665
C)0.64
D)0.669

Question

Quizplus · Accepted Answer

The variance for a binomial distribution is given by the formula $ \sigma^2 = np(1-p) $, where $ n $ is the number of trials (in this case, batteries per batch, which is 23), and $ p $ is the probability of success (in this case, the defect rate, which is 3% or 0.03). Plugging in the values, we get $ \sigma^2 = 23 \times 0.03 \times (1 - 0.03) = 23 \times 0.03 \times 0.97 = 0.6691 $. Rounding to three decimal places gives 0.669.

Solve the Problem. -A Company Manufactures Batteries in Batches of 23 and There