A literature professor decides to give a 10-question true-false quiz to determine who has read an assigned novel. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.1. What score should she set as the lowest passing grade? Click here to view the binomial distribution tables for n=10 and n=15. Click here to view the binomial distribution tables for n=20 and n=25 The lowest passing score should be set to correct out of 10. Binomial distribution tables for n=10 and n=15 = 10 D

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A literature professor decides to give a 10-question true-false quiz to determine who has read an assigned novel. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.1. What score should she set as
the lowest passing grade?
Click here to view the binomial distribution tables for n=10 and n=15.
Click here to view the binomial distribution tables for n=20 and n=25.
The lowest passing score should be set to
correct out of 10.
Binomial distribution tables for n=10 and n=15
n = 10
Р
k
0
1
k
2
3
4
5
6
7
8
9
n = 15
Р
0
1
2
4
5
6
7
8
9
10
11
12
13
14
.01
.01
.05
.860
.990
904 599 .349 .107 028
.996 .914 .736 376 .149
1.000
.988
.930 .678 383
1.000 999 .987 879 .650
1.000 1.000 .998 .967 .850
1.000 1.000 1.000
.994 .953
1.000 .999 .989
1.000 1.000
1.000 1.000 1.000 1.000 .998
1.000 1.000 1.000 1.000 1.000
1.000 1.000
1.000 1.000 1.000
.05
.10
.463
.829
.20
.10
.20
.30
206
.035
549 .167
.30
.50
.006 .001 .000 .000 .000 .000 .000 .000
.046 .011 .002 .000 000 .000 .000 .000
167 .055 .012 .002 .000 .000 .000 .000
382 172 .055 .011 .001 .000 .000 .000
.633 377 .166 .047 .006 .000 .000 000
623 .367 .150 .033 .002 .000 .000
.618 350 .121 .013 .001 .000
.617 322 .070 .012 .000
.851 .624 264 .086 .004
.893 .651 401 .096
834
945 .828
988
998
1.000
945
.989
.833
954
999
.994 .972
.40
.40
.005
.035 .005
.127
.027
297
.091
515
.722
.869
.950
.985
1.000 .964 .816
398
.648
1.000 .995
.838
944
1.000 .999 .987
1.000 1.000 .998 .939
1.000 1.000 1.000 .982
1.000 1.000 1.000
996
1.000 1.000 1.000 .999
.966
1.000 1.000 1.000 1.000 .996
1.000 1.000 1.000 1,000
999 .991
1.000 1.000 1.000 1.000 1.000 .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
.000 .000
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217
403
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787
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1.000 1.000 1.000 .995
1.000 1.000 1.000 1.000
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213 .050 .004 .000 .000
390 .131 018 .000 .000
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001
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184 .036 .000
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140
Р
Р
0
1
2
5
6
8
9
0
1
2
3
k
k
4
13
14
7
8
9
10
11
12
9
- X
Transcribed Image Text:A literature professor decides to give a 10-question true-false quiz to determine who has read an assigned novel. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.1. What score should she set as the lowest passing grade? Click here to view the binomial distribution tables for n=10 and n=15. Click here to view the binomial distribution tables for n=20 and n=25. The lowest passing score should be set to correct out of 10. Binomial distribution tables for n=10 and n=15 n = 10 Р k 0 1 k 2 3 4 5 6 7 8 9 n = 15 Р 0 1 2 4 5 6 7 8 9 10 11 12 13 14 .01 .01 .05 .860 .990 904 599 .349 .107 028 .996 .914 .736 376 .149 1.000 .988 .930 .678 383 1.000 999 .987 879 .650 1.000 1.000 .998 .967 .850 1.000 1.000 1.000 .994 .953 1.000 .999 .989 1.000 1.000 1.000 1.000 1.000 1.000 .998 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .05 .10 .463 .829 .20 .10 .20 .30 206 .035 549 .167 .30 .50 .006 .001 .000 .000 .000 .000 .000 .000 .046 .011 .002 .000 000 .000 .000 .000 167 .055 .012 .002 .000 .000 .000 .000 382 172 .055 .011 .001 .000 .000 .000 .633 377 .166 .047 .006 .000 .000 000 623 .367 .150 .033 .002 .000 .000 .618 350 .121 .013 .001 .000 .617 322 .070 .012 .000 .851 .624 264 .086 .004 .893 .651 401 .096 834 945 .828 988 998 1.000 945 .989 .833 954 999 .994 .972 .40 .40 .005 .035 .005 .127 .027 297 .091 515 .722 .869 .950 .985 1.000 .964 .816 398 .648 1.000 .995 .838 944 1.000 .999 .987 1.000 1.000 .998 .939 1.000 1.000 1.000 .982 1.000 1.000 1.000 996 1.000 1.000 1.000 .999 .966 1.000 1.000 1.000 1.000 .996 1.000 1.000 1.000 1,000 999 .991 1.000 1.000 1.000 1.000 1.000 .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 .000 .000 .50 217 403 .60 .610 787 .905 .60 .000 .000 .000 ,004 .018 059 .151 .304 500 .696 .849 .941 982 .909 1.000 .996 973 1.000 1.000 1.000 .995 1.000 1.000 1.000 1.000 .70 .70 .000 .000 .80 .80 .90 .95 .90 .000 .000 .000 .000 .000 .000 .001 .000 .000 002 .000 009 .000 .034 .004 .000 .000 .095 .015 .001 .000 .000 213 .050 .004 .000 .000 390 .131 018 .000 .000 597 278 .061 .002 .013 .056 .783 485 .164 703 352 .873 .602 .965 905 .95 .99 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 000 .000 .000 .000 .000 .99 .833 .451 .171 794 .965 537 .000 .000 001 .000 005 .000 184 .036 .000 .010 140 Р Р 0 1 2 5 6 8 9 0 1 2 3 k k 4 13 14 7 8 9 10 11 12 9 - X
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