Find the mean of the binomial random variable. Round to two decimal places when necessary.
-A company manufactures batteries in batches of 20 and there is a 3% rate of defects. Find the mean for the random variable X, the number of defects per batch.
A)0.6
B)0.58
C)0.62
D)19.4

Question

Find the mean of the binomial random variable. Round to two decimal places when necessary.
-A company manufactures batteries in batches of 20 and there is a 3% rate of defects. Find the mean for the random variable X, the number of defects per batch. 
A)0.6
B)0.58
C)0.62
D)19.4

Quizplus · Accepted Answer

The mean of a binomial random variable is given by $ \mu = np $, where $ n $ is the number of trials (in this case, 20 batteries) and $ p $ is the probability of success (in this case, a defect, which is 3% or 0.03). Thus, $ \mu = 20 \times 0.03 = 0.6 $.

Find the Mean of the Binomial Random Variable