A television cable company receives numerous phone callsthroughout the day from customers reporting service troubles andfrom would-be subscribers to the cable network. Most of thesecallers are put “on hold” until a company operator is free to helpthem. The company has determined that the length of time a calleris on hold is normally distributed with a mean of 3.1 minutes and astandard deviation 0.9 minutes. Company experts have decided thatif as many as 5% of the callers are put on hold for 4.8 minutes orlonger, more operators should be hired. a. What proportion of thecompany’s callers are put on hold for more than 4.8 minutes? Shouldthe company hire more operators? Show these probabilities on asketch of the normal curve. b. At another cable company (length oftime a caller is on hold follows the same distribution as before),2.5% of the callers are put on hold for longer than x minutes. Findthe value of x, and show this on a sketch of the normal curve.
