The amount of times that cars remain parked at a paid parking lot is normally distributed. The amount of time 15 parked carsremain parked was recorded and the mean was 4.5 hours and the standard deviation of 1 hours.

a) Can we assume the sampling distribution of sample means is normally distributed? Why?(1 marks)

b)What's the probability that in a second sample the mean will be less than 3.75 hours?(3 marks)

c)What is the probability that the mean of the 15 parked carsis between3.75 hours and 4.75 hours?(3 marks)