John surfs the website on a regular basis. Suppose the time hespent surfing the website per day is normally distributed, = 8minutes and ?

John surfs the website on a regular basis. Suppose the time hespent surfing the website per day is normally distributed, µ = 8minutes and ? = 2 minutes. If you select a random sample of 4sessions, a. What is the probability that the sample mean is lessthan 8 minutes? b. What is the probability that sample mean isbetween 8 and 10 minutes? c. If you select a random sample of 16sessions, what is the probability that a as sample mean is between8 and 9 minutes? d. Explain the differences in the results of (b)and (c). Show your work!