0% of students live off campus. A random sample of 25 students is selected. Use the binomial table to answer the following questions: 1) What is the probability that the sample contains less than 15 students who live off campus? 2) What is the probability that the sample contains exactly 15 students who live off campus? 3) What is the probability that the sample contains more than 15 students who live off campus? 4) What is the probability that the sample contains more than 10 and less than 20 students who live off campus?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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60% of students live off campus. A random sample of 25 students is selected.
Use the binomial table to answer the following questions:
1) What is the probability that the sample contains less than 15 students who live off campus?
2) What is the probability that the sample contains exactly 15 students who live off campus?
3) What is the probability that the sample contains more than 15 students who live off campus?
4) What is the probability that the sample contains more than 10 and less than 20 students who live
off campus?
Transcribed Image Text:60% of students live off campus. A random sample of 25 students is selected. Use the binomial table to answer the following questions: 1) What is the probability that the sample contains less than 15 students who live off campus? 2) What is the probability that the sample contains exactly 15 students who live off campus? 3) What is the probability that the sample contains more than 15 students who live off campus? 4) What is the probability that the sample contains more than 10 and less than 20 students who live off campus?
n=25
k
P
0
1
2
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9
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24
0.01
0.778
0.974
0.998
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.05
0.277
0.642
0.873
0.966
0.993
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.10
0.20
0.072
0.004
0.271 0.027
0.537
0.098
0.764
0.234
0.902
0.421
0.967
0.617
0.991
0.780
0.998
0.891
1.000
0.953
1.000
0.983
1.000
0.994
1.000
0.998
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.30
0.40
0.000
0.000
0.002
0.000
0.009
0.000
0.033
0.002
0.090
0.009
0.193
0.029
0.341
0.074
0.512
0.154
0.677
0.274
0.811
0.425
0.902
0.586
0.956 0.732
0.983
0.846
0.994
0.922
0.998
0.966
1.000
0.987
1.000 0.996
1.000
0.999
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.50
0.70
0.80
0.000
0.000
0.000
0.000
0.000 0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.002
0.000
0.000
0.000
0.007
0.000
0.000 0.000
0.022
0.001
0.000
0.000
0.054
0.004
0.000
0.000
0.115
0.013
0.000
0.000
0.212
0.034
0.002
0.000
0.345 0.078
0.006
0.000
0.154
0.017
0.000
0.268 0.044
0.002
0.098
0.006
0.189
0.017
0.323
0.047
0.488
0.109
0.659
0.220
0.807
0.383
0.910
0.579
0.967
0.991
0.998
1.000
0.60
0.000
0.000
0.000
0.000
0.000
0.500
0.655
0.788 0.414
0.885
0.575
0.946
0.726
0.978
0.846
0.993 0.926
0.998
0.971
1.000
0.991
1.000
0.998
1.000
1.000
1.000
1.000
1.000
1.000
0.766
0.902
0.973
0.996
0.90
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.002
0.009
0.033
0.098
0.236
0.463
0.729
0.928
0.95
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.001
0.007
0.034
0.127
0.358
0.723
0.99
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.002
0.026
0.222
Transcribed Image Text:n=25 k P 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0.01 0.778 0.974 0.998 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.05 0.277 0.642 0.873 0.966 0.993 0.999 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.10 0.20 0.072 0.004 0.271 0.027 0.537 0.098 0.764 0.234 0.902 0.421 0.967 0.617 0.991 0.780 0.998 0.891 1.000 0.953 1.000 0.983 1.000 0.994 1.000 0.998 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.30 0.40 0.000 0.000 0.002 0.000 0.009 0.000 0.033 0.002 0.090 0.009 0.193 0.029 0.341 0.074 0.512 0.154 0.677 0.274 0.811 0.425 0.902 0.586 0.956 0.732 0.983 0.846 0.994 0.922 0.998 0.966 1.000 0.987 1.000 0.996 1.000 0.999 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.50 0.70 0.80 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.002 0.000 0.000 0.000 0.007 0.000 0.000 0.000 0.022 0.001 0.000 0.000 0.054 0.004 0.000 0.000 0.115 0.013 0.000 0.000 0.212 0.034 0.002 0.000 0.345 0.078 0.006 0.000 0.154 0.017 0.000 0.268 0.044 0.002 0.098 0.006 0.189 0.017 0.323 0.047 0.488 0.109 0.659 0.220 0.807 0.383 0.910 0.579 0.967 0.991 0.998 1.000 0.60 0.000 0.000 0.000 0.000 0.000 0.500 0.655 0.788 0.414 0.885 0.575 0.946 0.726 0.978 0.846 0.993 0.926 0.998 0.971 1.000 0.991 1.000 0.998 1.000 1.000 1.000 1.000 1.000 1.000 0.766 0.902 0.973 0.996 0.90 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.002 0.009 0.033 0.098 0.236 0.463 0.729 0.928 0.95 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.007 0.034 0.127 0.358 0.723 0.99 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.002 0.026 0.222
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