Population Distribution for Time spent on hold 0.10 0.06 0.08 Value of density curve 0.04 0.02 0.00 10 15 20 25 30 Time Spenton hold (hours) a) Is the population normally distributed? Explain. (2 marks) 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. (3 marks) 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. (3 marks) 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. (4 marks)8. 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.6. Do the parameters of the sampling distribution of the sample mean change for different types of population [e.g., skewed vs. symmetric] and different sample sizes? Explain. [2 marks] 7. Suppose we collect a sample ofsize n = 10 from some population. Under what condition is the sampling distribution of the sample mean normally distributed? [2 marks]