Americans receive an average of 17 Christmas cards each year. Suppose the cards is normally distributed with a standard deviation of 5. Let X be the num received by a randomly selected American. Round all answers to 4 decimal pl a. What is the distribution of X? X - NG b. If an American is randomly chosen, find the probability that this American than 21 Christmas cards this year.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Americans receive an average of 17 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.
c. If an American is randomly chosen, find the probability that this American will receive between 18
and 22 Christmas cards this year.
d. 63% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
Transcribed Image Text:Americans receive an average of 17 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. c. If an American is randomly chosen, find the probability that this American will receive between 18 and 22 Christmas cards this year. d. 63% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
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