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.
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.
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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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
(Round to four decimal places as needed.)
Transcribed Image Text:D
1
2
3
4
5
5
7
B
3
0
1
2
3
4
5
5
J
3
9
D
1
2
3
4
5
5
7
3
9
n
1
2
3
4
5
6
7
r
0
1
0
1
2
0
1
2
3
р
0.5625
0.9375
1
0.4219
0.8438
0.9844
1
0.3164
0.7383
0.2401
0.6517
0.9163
0.9492
0.9961
0.9919
1
1
0.2373
0.1681
0.6328 0.5282
0.8965
0.8369
0.9844 0.9692
0.999 0.9976
4
5
1
1
0
1
0.178 0.1176
0.5339 0.4202
0.8306
2
0.7443
3
0.9624
0.9295
0.983
0.9984 0.9954
4
0.9891
5
0.9999
0.9998
0.9993
6
1
1
1
0
0.4783
0.2097
0.1335
0.0824
1 0.8503
0.5767
0.4449
0.3294
2
0.9743
0.852
0.7564
0.6471
3
0.9973
0.9667
0.9294
0.874
4 0.9998 0.9953 0.9871 0.9712
5
1
0.9996
1
6
0.9987 0.9962
0.9999 0.9998
1
1
7
0.1
0.9
1
2
3
1
0.81
0.99
1
0.729
0.972
0.999
1
0
0.6561
1
0.9477
2 0.9963
3
0.9999
4
1
0
0.5905
0.9185
0.9914
0.9995
1
1
0.2
0.8
1
1
1
0.64
0.96
1
0.512
0.896
0.992
1
0.4096
0.8192
0.9728
0.9984
1
0.3277
0.7373
0.9421
0.9933
0.9997
1
0.5314
0.2621
0.8857 0.6554
0.9842 0.9011
0.9987
0.9999
0.25
0.75
1
0.3
0.7
1
0.49
0.91
1
0.343
0.784
0.973
1
0.4
0.6
1
0.5
in in
0.36
0.84
1
0.5
1
0.3
1
0.09
0.51
1
0.064
0.027
0.352
0.216
0.784
0.657
1
1
0.0256 0.0081
0.0016
0.0272
0.0837
0.3483 0.1808
1
1
0.0778
0.337
0.0003
0.0067
0.6826
0.1792
0.5248
0.8704 0.7599 0.5904
1
1
0.0313 0.0102
0.1875
0.5
0.913 0.8125
0.9898 0.9688
1
0.0156 0.0041
0.1094
0.3438 0.1792
1
0.0024
0.087 0.0308
0.3174 0.1631 0.0579
0.663 0.4718 0.2627
0.9222 0.8319 0.6723
1
1
1
0.0007 0.0001
0.041 0.0109 0.0016
0.0705 0.017
1
0.0467
0.2333
0.5443
0.8208
0.6563
0.4557
0.2557 0.0989
0.959 0.8906 0.7667
0.5798
0.3446
0.9533
0.8824
0.7379
0.9959
1
0.028 0.0078
0.9844
1
1
1
0.0002
0.0016
0.0188
0.1586 0.0625
0.0038
0.0004
0.4199 0.2266
0.0963 0.0288 0.0047
0.2898
0.126
0.0333
0.5801
0.3529
0.148
0.7102
0.5
0.9037 0.7734
0.9812 0.9375
0.9984 0.9922
1
0.6706
0.4233
0.8414
0.972 0.9176
1
0.7903
1
1
0.25
0.75
1
0.6
0.4
0.216
0.125
0.648
0.5
0.936
0.875
1
1
0.1296 0.0625
0.4752 0.3125
0.8208 0.6875
0.9744 0.9375
1
oo
0.16
0.64
1
0.7
0.8
0.2
1
0.04
0.36
1
0.008
0.104
0.488
1
1
0
0.9
0.1
1
0.01
0.19
1
0.001
0.028
0.271
1
0.0001
0.0037
0.0523
0.3439
1
0
0.0005
0.0086
0.0815
0.4095
1
0
0.0001
0.0013
0.0159
0.1143
0.4686
1
0
0
0.0002
0.0027
0.0257
0.1497
0.5217
1
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