A particular airline has determined that an average of 18.5 suitcases (#= 18.5) get lost each week by the company with a standard deviation of 7.6 suitcases ( o= 7.6). If those parameters are correct for the year, what is the probability the airline will lose a total of 1000 or more suitcases for the year (52 weeks are in a year (n = 52))? %3D (Hint: This suggests finding the probability that the sample mean would be greater than 19.23 suitcases) O 15.6% O 24.4% O 29.8% 46.2%

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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A particular airline has determined that an average of
18.5 suitcases (*= 18.5) get lost each week by the
company with a standard deviation of 7.6 suitcases (
O = 7,6).
If those parameters are correct for the year, what is
the probability the airline will lose a total of 1000 or
more suitcases for the year (52 weeks are in a year (n
= 52))?
(Hint: This suggests finding the probability that the sample mean would be greater
than 19.23 suitcases)
O 15.6%
24.4%
29.8%
46.2%
OO O O
Transcribed Image Text:A particular airline has determined that an average of 18.5 suitcases (*= 18.5) get lost each week by the company with a standard deviation of 7.6 suitcases ( O = 7,6). If those parameters are correct for the year, what is the probability the airline will lose a total of 1000 or more suitcases for the year (52 weeks are in a year (n = 52))? (Hint: This suggests finding the probability that the sample mean would be greater than 19.23 suitcases) O 15.6% 24.4% 29.8% 46.2% OO O O
Use the central limit theorem if
Distribution of the
Sample Means
possible. For a sample of n =
64, find the probability of a
sample mean being between 29
and 32 given 4= 30 and o= 16. The
34.1%
34.1%
13.6%
13.6%
population is uniformly
distributed.
26
28
30
32
(Hint: First determine i and o
and use those values to find :)
0.0747
0.4672
0.5328
O 0.6927
Transcribed Image Text:Use the central limit theorem if Distribution of the Sample Means possible. For a sample of n = 64, find the probability of a sample mean being between 29 and 32 given 4= 30 and o= 16. The 34.1% 34.1% 13.6% 13.6% population is uniformly distributed. 26 28 30 32 (Hint: First determine i and o and use those values to find :) 0.0747 0.4672 0.5328 O 0.6927
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