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Chapter 7: Q. 71 (page 481)

Airline passengers get heavier In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. A commuter plane carries 30 passengers. Find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds.

Short Answer

Expert verified

The required value isP(X炉鈮�200)=5.94%

Step by step solution

01

Given information 

Given,

渭=190蟽=35n=30鈭�xi=6000
02

Calculation

Formula used:

z=x-渭蟽

Lets calculate,

localid="1657630239006" x炉=鈭�xin=600030=200z=x炉-渭x炉蟽x炉=x炉-渭蟽ln=200-19035/30鈮�1.56P(X炉鈮�200)=P(Z>1.56)=1-P(Z>1.56)=1-0.9406=0.0594=5.94%

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