Shell Global reported the amount of gasoline sold daily at their petrol stations is uniformly distributed with a minimum of 3,000 gallons and a maximum of 7,000 gallons. A survey was conducted on the amount of gasoline sold daily by a random sample of 50 petrol stations owned by Shell.

a. Calculate the mean and standard deviation of the amount of gasoline sold daily by Shell.

(Hint: Review the uniform distribution from Chapter 6.)

b. Based on the findings in part

a, what is the probability that Shell sold more than an average of 4,500 gallons of gasoline per day?

c. How can you determine the probability in part b given that the population of daily amount of gasoline sold is not normally distributed?