In: Statistics and Probability
In the United States, males between the ages of 40 and 49 eat on average 105.1 g of fat every day with a standard deviation of 4.5 g ("What we eat," 2012). 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 between 65 g and 100 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 95% of all men age 40-49 in the U.S. eat less than?