In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.

1.    In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed.

a.)  State the random variable.b.)  Find the probability that a man age 40-49 in the U.S. eats more than 110 g of fat every day.c.)  Find the probability that a man age 40-49 in the U.S. eats less than 93 g of fat every day.d.)  Find the probability that a man age 40-49 in the U.S. eats less than 65 g of fat every day.e.)  If you found a man age 40-49 in the U.S. who says he eats less than 65 g of fat every day, would you believe him? Why or why not?f.)   What daily fat level do 5% of all men age 40-49 in the U.S. eat more than?