Question

the number of days (x) after mailout it takes a utility company to receive payment for a customers bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days. there is a probability of 0.50 that a bill will be received later than -- days after mailout. fill in the blanks by selecting one option from each menu. 10 points

Explanation:

Step1: Recall property of normal distribution

In a normal distribution, the mean divides the distribution into two equal - halves. The probability of a value being greater than the mean is 0.5 and the probability of a value being less than the mean is 0.5.

Step2: Identify the mean value

Given that the mean of the normal distribution of the number of days (X) after mail - out it takes to receive payment is $\mu = 31$ days.

Answer:

31