An airliner carries 300 passengers and has doors with a height of 74 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is 0.9633. (Round to four decimal places as needed.) b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is less than 74 in. The probability is. (Round to four decimal places as needed.)
An airliner carries 300 passengers and has doors with a height of 74 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is 0.9633. (Round to four decimal places as needed.) b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is less than 74 in. The probability is. (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 3CYU
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![An airliner carries 300 passengers and has doors with a height of 74 in. Heights of men are normally
distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).
a. If a male passenger is randomly selected, find the probability that he can fit through the doorway
without bending.
The probability is 0.9633.
(Round to four decimal places as needed.)
b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is
less than 74 in.
The probability is.
(Round to four decimal places as needed.)
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Transcribed Image Text:An airliner carries 300 passengers and has doors with a height of 74 in. Heights of men are normally
distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).
a. If a male passenger is randomly selected, find the probability that he can fit through the doorway
without bending.
The probability is 0.9633.
(Round to four decimal places as needed.)
b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is
less than 74 in.
The probability is.
(Round to four decimal places as needed.)
Get More Help -
Clear All
Check Answer
Aa
F10
F11
F12
FZ
F8
F9
)
+
8
9
delete
{
[
P
K
* 00
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