Americans receive an average of 21 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. 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 24 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 23 and 29 Christmas cards this year. d. 84% of all Americans receive at most how many Christmas cards? (Please enter a whole number)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Americans receive an average of 21 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. 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 24 Christmas cards this year.

c. If an American is randomly chosen, find the probability that this American will receive between 23 and 29 Christmas cards this year.

d. 84% of all Americans receive at most how many Christmas cards? (Please enter a whole number)

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