In: Statistics and Probability
Assume the hold time of callers to a cable company is normally distributed with a mean of 3.5 minutes and a standard deviation of 0.4 minutes. Determine the percent of callers who are on hold for more than 3.5 minutes. (Round to two decimal places as needed.)
Solution :
Given that,
mean = = 3.5
standard deviation = = 0.4
P(x > 3.5) = 1 - P(x< 3.5)
= 1 - P[(x -) / < (3.5- 3.5) /0.4 ]
= 1 - P(z < 0)
Using z table
= 1 - 0.50
=0.50
=50.00%