The XO Group Inc. conducted a 2015 survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $29,858 (XO Group website). Assume that the cost of a wedding is normally distributed with a mean of $29,858 and a standard deviation of $5,600. a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)? b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)? c. For a wedding to be among the 5% most expensive, how much would it have t cost (to the nearest 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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The XO Group Inc. conducted a 2015 survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $29,858 (XO Group website). Assume that the cost of a wedding is normally distributed
with a mean of $29,858 and a standard deviation of $5,600.
a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?
b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?
c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?
$
Transcribed Image Text:The XO Group Inc. conducted a 2015 survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $29,858 (XO Group website). Assume that the cost of a wedding is normally distributed with a mean of $29,858 and a standard deviation of $5,600. a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)? b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)? c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)? $
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