Let X denote the amount of time a randomly selected customer spends on hold with some insurance company. Suppose X follows a distribution with a mean of 8 hours and a variance of 16 hours. The population density curve for X is shown below. Population Distribution for Time spent on hold Value of density curve 0.00 0.02 0.04 0.06 0.08 0.10 5 10 15 20 25 30 Time Spent on hold (hours) a) Is the population normally distributed? Explain. b) If you randomly pick twenty-five customers, describe the sampling distribution of the average time spent in the store; provide the mean, standard deviation, and shape. c) If you randomly pick one hundred customers, describe the sampling distribution of the average time spent in the store; provide the mean, standard deviation, and shape. d) If you randomly pick one-hundred customers, find the probability that the average time spent on hold is within 1 hour of the population mean