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Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards...

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Statistics

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.  

c. If an American is randomly chosen, find the probability thatthis American will receive between 21 and 25 Christmas cards thisyear.  

d. 73% of all Americans receive at most how many Christmas cards?(Please enter a whole number)

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