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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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
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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
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0.000
0.000
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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
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0.000
0.000
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0.034
0.127
0.358
0.723
0.99
0.000
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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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