Americans receive an average of 18 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 5. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , )

b. If an American is randomly chosen, find the probability that this American will receive no more than 21 Christmas cards this year.
(Round z-score up to 2 decimal places.)

c. If an American is randomly chosen, find the probability that this American will receive between 19 and 24 Christmas cards this year.
(Round z-score up to 2 decimal places.)

d. 82% of all Americans receive at most how many Christmas cards? (Please enter a whole number)