An airline company models the weight (in pounds) of the luggage of a passenger according to some unknown distribution with mean/expectation 35 pounds and standard deviation 5 pounds. A random sample of 100 passenger's luggage is taken, and the sample mean of the weights is recorded, X. What is the probability that the sample mean X is greater than 36 pounds? Round to the nearest 3rd decimal place, 0.xxx

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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An airline company models the weight (in pounds) of the luggage of a passenger according to some
unknown distribution with mean/expectation 35 pounds and standard deviation 5 pounds.
A random sample of 100 passenger's luggage is taken, and the sample mean of the weights is
recorded, X.
What is the probability that the sample mean X is greater than 36 pounds?
Round to the nearest 3rd decimal place, 0.xxx
Q
A
30%
F1
2
W
S
F2
D
#
3
80
F3
E
D
$
54
000
F4
R
LL
%
5
F5
T
MacBook Air
6
F6
Y
&
7
G H
F7
U
8
DII
F8
J
9
F9
K
M
O
F10
L
P
F11
+ 11
F12
Transcribed Image Text:esc An airline company models the weight (in pounds) of the luggage of a passenger according to some unknown distribution with mean/expectation 35 pounds and standard deviation 5 pounds. A random sample of 100 passenger's luggage is taken, and the sample mean of the weights is recorded, X. What is the probability that the sample mean X is greater than 36 pounds? Round to the nearest 3rd decimal place, 0.xxx Q A 30% F1 2 W S F2 D # 3 80 F3 E D $ 54 000 F4 R LL % 5 F5 T MacBook Air 6 F6 Y & 7 G H F7 U 8 DII F8 J 9 F9 K M O F10 L P F11 + 11 F12
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