1) The Ohio lottery has a game called Pick 4 where a player pays $1 and picks a four-digit number

1) The Ohio lottery has a game called Pick 4 where a player pays $1 and picks a four-digit number. If the four numbers come up in the order you picked, then you win $2,500. What is your expected value?

2.5.     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.)   Find the probability that a man age 40-49 in the U.S. eats more than 110 g of fat every day.

b.)   Find the probability that a man age 40-49 in the U.S. eats less than 93 g of fat every day

c.)   Find the probability that a man age 40-49 in the U.S. eats less than 65 g of fat every day.

d.)   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?