Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Basic Skills and Concepts - Page 221: 39


a) 0.000854 b) 0.000061 c)0.000915 d)The method seems to be effective.

Work Step by Step

a) $P(X=13)={14\choose 13} \cdot (0.5)^{13}\cdot (0.5)^1=0.000854.$ b)$P(X=14)={14\choose 14} \cdot (0.5)^{14}\cdot (0.5)^0=0.000061.$ c)$P(X\geq13)=P(X=13)+P(X=14)={14\choose 13} \cdot (0.5)^{13}\cdot (0.5)^1+{14\choose 14} \cdot (0.5)^{14}\cdot (0.5)^0=0.000854+0.000061=0.000915.$ d)The probability of c) indicates that normally this probability would be very low therefore the method seems to be effective.
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