Americans receive an average of 22 Christmas cards each year. Suppose the number of Christmas cards is normally distribu

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Americans receive an average of 22 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( 22 , 6 ) b. If an American is randomly chosen, find the
probability that this American will receive no more than 23
Christmas cards this year. c. If an American is randomly chosen,
find the probability that this American will receive between 25 and
30 Christmas cards this year. d. 71% of all Americans receive at
most how many Christmas cards?
subject is statistics