Americans receive an average of 20 Christmas cards each year.Suppose the number of Christmas cards is normally distributed witha standard deviation of 6. Let X be the number of Christmas cardsreceived by a randomly selected American. Round all answers to 4decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. If an American is randomly chosen, find the probability thatthis American will receive no more than 19 Christmas cards thisyear. Â
c. If an American is randomly chosen, find the probability thatthis American will receive between 21 and 25 Christmas cards thisyear. Â
d. 73% of all Americans receive at most how many Christmas cards?(Please enter a whole number)
