The percentage of wins for a basketball team going into the playoffs was 84.5%. Round the 84.5 to 80 in order to use the accompanying table. (a) What is the probability that the team wins the first 4 games of the initial best-of-7 series? (b) What is the probability that the team wins the initial best-of-7 series? (c) What very important assumption is made in answering parts (a) and (b)? Click here to view page 1 of the table of binomial probability sums. (a) The probability that the team wins the first 4 games is 0.5098 (Round to four decimal places as needed.) (b) The probability that the team wins the series is 0.9667. (Round to four decimal places as needed.) (c) Choose the correct answer below. A. The team has played the same players all year. O B. The team played against the same team all year. O C. The probability that the team wins changes. O D. The probability that the team wins is always 0.845.
The percentage of wins for a basketball team going into the playoffs was 84.5%. Round the 84.5 to 80 in order to use the accompanying table. (a) What is the probability that the team wins the first 4 games of the initial best-of-7 series? (b) What is the probability that the team wins the initial best-of-7 series? (c) What very important assumption is made in answering parts (a) and (b)? Click here to view page 1 of the table of binomial probability sums. (a) The probability that the team wins the first 4 games is 0.5098 (Round to four decimal places as needed.) (b) The probability that the team wins the series is 0.9667. (Round to four decimal places as needed.) (c) Choose the correct answer below. A. The team has played the same players all year. O B. The team played against the same team all year. O C. The probability that the team wins changes. O D. The probability that the team wins is always 0.845.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Transcribed Image Text:The percentage of wins for a basketball team going into the playoffs was 84.5%. Round the 84.5 to 80 in order to use
the accompanying table.
(a) What is the probability that the team wins the first 4 games of the initial best-of-7 series?
(b) What is the probability that the team wins the initial best-of-7 series?
(c) What very important assumption is made in answering parts (a) and (b)?
Click here to view page 1 of the table of binomial probability sums.
(a) The probability that the team wins the first 4 games is 0.5098.
(Round to four decimal places as needed.)
(b) The probability that the team wins the series is 0.9667
(Round to four decimal places as needed.)
(c) Choose the correct answer below.
A. The team has played the same players all year.
OB. The team played against the same team all year.
O C. The probability that the team wins changes.
O D. The probability that the team wins is always 0.845.
Transcribed Image Text:I
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B
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1
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1
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0.9
1
0.81
0.99
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0.729
0.972
0.999
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1
1
0.2
0.8
1
0.64
0.96
1
1
1
0.6561
0.9477
0.9963
0.9999
1
0.5905
0.3277
0.9185 0.7373
0.9914 0.9421
0.9995
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0.25
0.75
1
0.5625
0.9375
1
0.512
0.4219
0.896 0.8438
0.992 0.9844
1
0.4096 0.3164
1
0.8192
0.7383
0.9728
0.9492
0.9984
0.9961
1
0.2373
0.6328
F
0.3
0.7
1
0.49
0.91
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2
3
0
1
2
3
4
0
1
2
3
4
5
0.9933 0.9844
0.9997 0.999
1
1
0.178 0.1176
0.4202
1
0
0.5314 0.2621
1
0.8857
0.6554
0.5339
2
0.9842 0.9011
0.8306
0.7443
3
0.9987
0.983
0.9624
0.9295
0.8208
4
0.9999
0.9984
0.9954
0.9891
0.959
0.9993 0.9959
5
0.9999
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6
1
1
0
0.4783
0.2097
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0.8503
0.5767
2
0.9743 0.852
3 0.9973 0.9667
4 0.9998 0.9953
0.9996
5
1
6
0.4
0.6
1
0.36
0.84
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0.343 0.216
0.784 0.648
0.973
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0.5
0.5
1
0.25
0.75
1
0.125
0.5
0.936 0.875
1
0.1296 0.0625 0.0256
1
0.2401
0.6517
0.4752
0.3125
0.9163 0.8208
0.6875
0.9919
0.9375
0.9744
1
0.1681
0.0778
0.5282
0.337
0.8965 0.8369 0.6826
0.9692
0.9976
0.6
0.4
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0.16
0.64
1
0.064
0.352
0.784
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0.3
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0.0313
0.1875
0.5
0.913 0.8125
0.9898 0.9688 0.9222
1
1
1
0.0467 0.0156 0.0041
0.2333 0.1094
0.5443 0.3438
0.09
0.51
1
0.0081
0.1792 0.0837
0.5248
0.8704
1
K
0.8
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0.36
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0.027 0.008
0.104
0.216
0.657 0.488
1
0.3483 0.1808
0.7599
1
0.0102
0.0024
0.087 0.0308
0.3174
0.663 0.4718 0.2627
0.1631 0.0579
0.8319 0.6723
1
1
0.0007 0.0001
0.041 0.0109 0.0016
0.1792 0.0705 0.017
0.4557 0.2557 0.0989
0.3446
0.7379
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0.9
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0.0272 0.0037
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0.0067
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0.01
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0.0086
0.0815
0.4095
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0.0001
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0.0159
0.1143
0.4686
0.6563
0.8906 0.7667
0.5798
0.9844 0.9533 0.8824
1
1
0.1335
1
0.0824
0.3294
0.4449
0.7564 0.6471
1
1
1
0.028 0.0078 0.0016 0.0002
0
0.1586 0.0625 0.0188 0.0038 0.0004
0.4199 0.2266 0.0963 0.0288 0.0047 0.0002
0.9294 0.874 0.7102
0.5 0.2898 0.126 0.0333 0.0027
0.9871 0.9712 0.9037 0.7734 0.5801 0.3529 0.148 0.0257
0.9987 0.9962 0.9812
0.9375 0.8414 0.6706 0.4233 0.1497
0.9999 0.9998 0.9984 0.9922 0.972 0.9176 0.7903 0.5217
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1
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