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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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7
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B
0
1
0
1
2
0
1
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7
с
0.1
0.9
1
0.81
0.99
1
0.729
0.972
0.999
1
D
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
E
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
G
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
0.9998
6
1
1
0
0.4783
0.2097
1
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
1
0.343 0.216
0.784 0.648
0.973
1
H
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
1
0.16
0.64
1
0.064
0.352
0.784
1
J
0.7
0.3
1
0.0313
0.1875
0.5
0.913 0.8125
0.9898 0.9688 0.9222
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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
0.2
1
0.04
0.36
1
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
L
0.9
0.1
1
0.001
0.028
0.271
1
0.0016 0.0001
0.0272 0.0037
0.0523
0.5904 0.3439
1
1
0.0003
0.0067
0
0.01
0.19
1
0.0005
0.0086
0.0815
0.4095
1
0
0.0001
0.0013
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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