Binomial Probability Sums r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 10 0.9000 0.8000 0.7500 0.7000 0.000 0.5000 10000 0.4000 0.3000 0.2000 0.1000 1.0000 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 L0000 1.0000 20 0.8100 0.6400 0.5625 0.4900 0.3000 0.2500 1 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 1.0000 0.1600 0.0900 0.0400 0.0100 2 1.0000 1.0000 0.6400 0.5100 0.3600 0.1900 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 30 0.7290 0.5120 0.4219 0.3130 0.2160 0.1250 0.8438 0.7840 0.GIS0 0.5000 1 0.9720 2 0.9990 0.9020 0.9844 0.9730 0.9360 0.8750 3 1.0000 0.0640 0.0270 0.0080 0.0010 0.3520 0.210 0.100 0.02s0 0.7840 0.6570 0.4880 0.2710 1.0000 1.0000 1.0000 1.0000 1.0000 0.8900 1.0000 1.0000 1.0000 1.0000 40 0.6561 0.4096 0.3164 0.201 0.1296 0.0625 0.0256 0.0081 0.0016 0.0001 1 0.9177 0.8192 0.7383 0.6517 0.4752 0.3125 2 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 3 0.9999 0.9984 0.9961 4 1.0000 1.0000 1.0000 5 0 0.5905 0.3277 0.1792 0.0837 0.0272 0.0037 0.5248 0.3483 0.1808 0.0523 0.9919 0.9744 0.9375 0.S704 0.7599 0.5904 0.3439 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0003 0.0000 2 0.9014 0.9421 3 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 4 1.0000 0.9997 1.0000 1.0000 1 0.9185 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0067 0.0005 0.3174 0.1631 0.0679 0.086 0.6630 0.4718 0.2627 0.0815 0.9222 0.8319 0.6723 0.4095 1.0000 0.8965 0.8369 0.6826 0.5000 0.9990 0.9976 0.9898 0.9688 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 6 0 0.5314 0.2621 0.1780 0.1176 0.0067 0.0156 0.0041 0.0007 0.0001 0.0000
Binomial Probability Sums r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 10 0.9000 0.8000 0.7500 0.7000 0.000 0.5000 10000 0.4000 0.3000 0.2000 0.1000 1.0000 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 L0000 1.0000 20 0.8100 0.6400 0.5625 0.4900 0.3000 0.2500 1 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 1.0000 0.1600 0.0900 0.0400 0.0100 2 1.0000 1.0000 0.6400 0.5100 0.3600 0.1900 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 30 0.7290 0.5120 0.4219 0.3130 0.2160 0.1250 0.8438 0.7840 0.GIS0 0.5000 1 0.9720 2 0.9990 0.9020 0.9844 0.9730 0.9360 0.8750 3 1.0000 0.0640 0.0270 0.0080 0.0010 0.3520 0.210 0.100 0.02s0 0.7840 0.6570 0.4880 0.2710 1.0000 1.0000 1.0000 1.0000 1.0000 0.8900 1.0000 1.0000 1.0000 1.0000 40 0.6561 0.4096 0.3164 0.201 0.1296 0.0625 0.0256 0.0081 0.0016 0.0001 1 0.9177 0.8192 0.7383 0.6517 0.4752 0.3125 2 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 3 0.9999 0.9984 0.9961 4 1.0000 1.0000 1.0000 5 0 0.5905 0.3277 0.1792 0.0837 0.0272 0.0037 0.5248 0.3483 0.1808 0.0523 0.9919 0.9744 0.9375 0.S704 0.7599 0.5904 0.3439 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0003 0.0000 2 0.9014 0.9421 3 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 4 1.0000 0.9997 1.0000 1.0000 1 0.9185 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0067 0.0005 0.3174 0.1631 0.0679 0.086 0.6630 0.4718 0.2627 0.0815 0.9222 0.8319 0.6723 0.4095 1.0000 0.8965 0.8369 0.6826 0.5000 0.9990 0.9976 0.9898 0.9688 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 6 0 0.5314 0.2621 0.1780 0.1176 0.0067 0.0156 0.0041 0.0007 0.0001 0.0000
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:Binomial Probability Sums Ean, p)
0.10
0.20
0.25
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1 0
0.9000 0.8000 0.7500 0.7000 0.000 0.5000 0.4000 0.300 0.2000 0.1000
1.0000
1
1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
1.0000
20 0.8100 0.6400 0.5625 0.4900 0.3000 0.2500 0.1600 0.0900 0.0400 0.0100
1 0.9900 0.9600 0.9375 0.9100 0.800 0.7500 0.6400 0.5100 0.3600 0.1900
1.0000
2 1.0000
1.0000 1.0000 1.0000 1.0000
1.0000 1.0000 1.0000 1.0000
30 0.7290 0.5120 0.4219 0.3130 0.2160 0.1250 0.0610 0.0270 0.008o 0.0010
1 0.9720 0.8900 0.8438 0.7840 0.6180 0.5000 0.3520 0.210 0.1010 0.02s0
2 0.9990 0.9020 0.9844 0.9730 0.9360 0.8750 0.7840 0.6570 0.4880 0.2710
3 1.0000 1.0000 1.0000 1.0000 1.0000
1.0000 1.0000 1.0000 1.0000
1.0000
40 0.6561 0.4096 0.3164 0.2001 0.1296 00625 0.0256 0.0081 0.0016 0.0001
1 0.9177 0.8192 0.7383 0.6517 0.4752 0.3125 0.1792 0.0837 0.0272 0.0007
2 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 0.5248 0.3483 0.1808 0.0523
3 0.9999 0.9984 0.9961 0.9919 0.9744 09375 0S704 0.7599 0.5904 0.3139
4 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
50 0.5005 0.3277 0.2373 0.1681 0.0778 0.O313 00102 0.0024 0.0003 0.000
1 0.9185 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0067 0.0005
2 0.9014 0.9421 0.8965 0.8369 0.6826 0.5000 0.3174 0.1631 0.0679 0.0086
3 0.9995 0.9933 0.9844 0.9602 0.9130 0.8125 0.6630 0.4718 0.2627 0.0815
4 1.0000 0.9997 0.9990 0.9976 0.9898 0.9688 0.9222 0.8319 0.6723 0.4095
5 1.0000 1.00оо 1.0000 1.0ю 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
6 0 0.5314 0.2621 0.1780 0.1176 0.0167 O.0156 0.0041 0.0007 0.0001
1 0.8857 0.6554 0.5339 0.4202 0.2333 0.1094 0.0410 0.0109 0.0016 0.0001
2 0.9842 0.9011 0.8306 0.7443 0.5443 0.3438 0.1792 0.0706 0.0170 0.0013
3 0.9087 0.9830 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.0089 0.0150
0.0000
4 0.9999 0.9984 0.9954 0.9891
0.9590
0.8906
0.7667 0.5798 0.3446 0.1143
5
1.0000 0.9999 0.9998 0.9993 0.9959 0.9844 0.9533 0.8824 0.7379 0.4686
6 1.0000 1.0000 1.0000
70 0.4783 0.2097 0.1335 0.0824 0.0280 0.0078
1 0.8503 0.5767 0.449 0.3294 0.1586 0.0625 0.0188 0.0038 0.0004 0.0000
2 0.9743 0.8S20 0.7564 0.G171 0.4199 0.2266 0.0963 0.02ss 0.0017 0.0002
3 0.9973 0.9667 0.9294 0.8740 0.7102 0.5000 0.2898 0.1290 0.033 0.0027
4 0.9998 0.9963 0.9871 0.9712 0.9037 0.7734
5 1.0000 0.9996 0.9987 0.9962 0.9812 0.9375 0.8414 0.6706 0.4233
6
1.0000
1.0000
1.0000 1.0000 1.0000 1.0000
1.0000
0.0016 0.0002 0.0000
0.3529
0.1480 0.02ST
0.1497
1.0000 0.9900 0.9908 0.9084 0.9922 0.9720 0.9176 0.7903 0.5217
1.0000
1.0000 1.0000 1.0000 1.0000
1.0000
1.0000
1.0000
0.10
0.20
0.25
0.30
0.40
0.50
0.60
0.70
0.80
0.90
Transcribed Image Text:The percentage of wins for a basketball team going into the playoffs was 88.5%. Round the 88.5 to 90 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.
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