In: Statistics and Probability
Americans receive an average of 20 Christmas cards each year.
Suppose the number of Christmas cards is normally distributed with
a standard deviation of 6. 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 19 Christmas cards this
year.
c. If an American is randomly chosen, find the probability that
this American will receive between 21 and 25 Christmas cards this
year.
d. 73% of all Americans receive at most how many Christmas cards?
(Please enter a whole number)