A computer software company has been looking at the amount of time customers spend on hold after their call is answered by the central switchboard. The company would like to have at most 2% of the callers wait two minutes or more. The company’s calling service has provided the following data showing how long each of last month’s callers spent on hold:
Class Number
Less than 15 seconds………………….. 456
15 to less than 30 seconds…………….. 718
30 to less than 45 seconds…………….. 891
45 to less than 60 seconds…………….. 823
60 to less than 75 seconds…………….. 610
75 to less than 90 seconds…………….. 449
90 to less than 105 seconds…………… 385
105 to less than 120 seconds………….... 22
120 to less than 150 seconds………….. 158
150 to less than 180 seconds………..… 124
180 to less than 240 seconds………….. 87
More than 240 seconds……………….. 153
a. Develop a relative frequency distribution and ogive for these data.
b. The company estimates it loses an average of $30 in business from callers who must wait two minutes or more before receiving assistance. The company thinks that last month’s distribution of waiting times is typical. Estimate how much money the company is losing in business per month because people have to wait too long before receiving assistance.