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The percentage of wins for a basketball team going into the playoffs was 84.6%. Round the 84.6 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)?

The percentage of wins for a basketball team going into the playoffs was 84.6%. Round the 84.6 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)?

A First Course in Probability (10th Edition)
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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n T 0.10 0.20 0.25 0.30 0.40 0.50 1 1.0000 1.0000 1.0000 0.00 0.0100 1 0 0.9000 0.8000 0.7500 0.7000 0.0000 0.5000 1.0000 1.0000 1.0000 1.0000 0.8100 0.6400 0.5625 0.4900 0.3600 0.2500 0.1600 0.0900 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 0.6400 0.5100 0.30 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.2160 0.1250 0.06-40 0.0270 0.0080 0.5000 0.3520 0.2160 0.1040 0.8750 0.7840 0.6570 0.4880 0.2710 1.0000 1.0000 0.0010 0.7840 0.6480 0.0280 0.9730 0.9360 1.0000 1.0000 1.0000 1.0000 1.0000 20 1 2 3 0 0.7290 0.5120 0.4219 0.3430 0.9720 0.8960 0.8438 0.9990 0.9920 0.9844 1.0000 1.0000 1.0000 5 1 2 6 3 4 0 0.6561 0.4096 1 2 0 1 Binomial Probability Sums 2: n.p) 2 3 4 5 0123 0.5314 0.8857 0.9842 0.9987 0.60 0.70 0.80 0.4000 0.3000 0.2000 1.0000 1.0000 0.2621 0.1780 0.6554 0.5339 0.9011 0.9830 0.0256 0.0081 0.0016 0.3164 0.2401 0.1296 0.0625 0.9477 0.8192 0.7383 0.6517 0.4752 0.1792 0.0837 0.0272 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 0.5248 0.3483 0.1808 0.3125 0.5904 0.9919 0.9744 0.9375 0.8704 0.7599 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9981 0.9961 1.0000 1.0000 1.0000 0.3277 0.2373 0.1681 0.0778 0.0313 0.7373 0.6328 0.5282 0.3370 0.9914 0.9421 0.8965 0.8369 0.6826 0.5905 0.9185 0.1875 0.0870 0.0308 0.0067 0.3174 0.1631 0.0579 0.9692 0.9130 0.6630 0.4718 0.2627 0.9995 0.9933 0.9844 0.9997 0.9990 1.0000 1.0000 1.0000 1.0000 0.5000 0.8125 0.9976 0.9898 0.9688 0.9222 0.8319 0.6723 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.1176 0.0167 0.0156 0.0041 0.0007 0.0001 0.4202 0.2333 0.1094 0.0410 0.0109 0.0016 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0170 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.0989 0.0159 0.0000 0.0001 0.0013 0.90 0.1000 1.0000 0.0102 0.0024 0.0003 0.1900 1.0000 0.0001 0.0037 0.0523 0.3439 1.0000 0.0000 0.0005 0.0086 0.0815 0.4095 1.0000
Transcribed Image Text:n T 0.10 0.20 0.25 0.30 0.40 0.50 1 1.0000 1.0000 1.0000 0.00 0.0100 1 0 0.9000 0.8000 0.7500 0.7000 0.0000 0.5000 1.0000 1.0000 1.0000 1.0000 0.8100 0.6400 0.5625 0.4900 0.3600 0.2500 0.1600 0.0900 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 0.6400 0.5100 0.30 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.2160 0.1250 0.06-40 0.0270 0.0080 0.5000 0.3520 0.2160 0.1040 0.8750 0.7840 0.6570 0.4880 0.2710 1.0000 1.0000 0.0010 0.7840 0.6480 0.0280 0.9730 0.9360 1.0000 1.0000 1.0000 1.0000 1.0000 20 1 2 3 0 0.7290 0.5120 0.4219 0.3430 0.9720 0.8960 0.8438 0.9990 0.9920 0.9844 1.0000 1.0000 1.0000 5 1 2 6 3 4 0 0.6561 0.4096 1 2 0 1 Binomial Probability Sums 2: n.p) 2 3 4 5 0123 0.5314 0.8857 0.9842 0.9987 0.60 0.70 0.80 0.4000 0.3000 0.2000 1.0000 1.0000 0.2621 0.1780 0.6554 0.5339 0.9011 0.9830 0.0256 0.0081 0.0016 0.3164 0.2401 0.1296 0.0625 0.9477 0.8192 0.7383 0.6517 0.4752 0.1792 0.0837 0.0272 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 0.5248 0.3483 0.1808 0.3125 0.5904 0.9919 0.9744 0.9375 0.8704 0.7599 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.9999 0.9981 0.9961 1.0000 1.0000 1.0000 0.3277 0.2373 0.1681 0.0778 0.0313 0.7373 0.6328 0.5282 0.3370 0.9914 0.9421 0.8965 0.8369 0.6826 0.5905 0.9185 0.1875 0.0870 0.0308 0.0067 0.3174 0.1631 0.0579 0.9692 0.9130 0.6630 0.4718 0.2627 0.9995 0.9933 0.9844 0.9997 0.9990 1.0000 1.0000 1.0000 1.0000 0.5000 0.8125 0.9976 0.9898 0.9688 0.9222 0.8319 0.6723 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.1176 0.0167 0.0156 0.0041 0.0007 0.0001 0.4202 0.2333 0.1094 0.0410 0.0109 0.0016 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0170 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.0989 0.0159 0.0000 0.0001 0.0013 0.90 0.1000 1.0000 0.0102 0.0024 0.0003 0.1900 1.0000 0.0001 0.0037 0.0523 0.3439 1.0000 0.0000 0.0005 0.0086 0.0815 0.4095 1.0000
K The percentage of wins for a basketball team going into the playoffs was 84.6%. Round the 84.6 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. BLIXED (a) The probability that the team wins the first 4 games is. (Round to four decimal places as needed.)
Transcribed Image Text:K The percentage of wins for a basketball team going into the playoffs was 84.6%. Round the 84.6 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. BLIXED (a) The probability that the team wins the first 4 games is. (Round to four decimal places as needed.)
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