12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use an estimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs. of baggage). According to your textbook, assume that men (not carrying baggage) have weights that are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs. a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-on baggage, find the probability that the total weight is greater than 195 lbs. b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage from the top 80%?

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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12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use an
estimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.
of baggage). According to your textbook, assume that men (not carrying baggage) have weights
that are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.
a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-on
baggage, find the probability that the total weight is greater than 195 lbs.
b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage from
the top 80%?

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