1)A group of young boys is wild about baseball cards. The monthly amount of time spent trading these cards by members of this group is normally distributed with a mean of 40 hours and a standard deviation of 5 hours.

a)What is the probability that a randomly selected boy from this group spends more than 45 hours trading baseball cards during the month of August?

b)If 40 boys are randomly selected from this group, what is the sampling distribution of the sample mean amount of time they spend monthly trading baseball cards?

c)What is the probability that a randomly selected group of 40 boys will average more than 45 hours trading baseball cards during the month of August?