Elementary Statistics (12th Edition)

Published by Pearson

Chapter 5 - Discrete Probability Distributions - 5-2 Probability Distributions - Basic Skills and Concepts - Page 209: 20

Answer

a)0.041 b)0.046 c)The result from b) d)Yes.

Work Step by Step

a) From the table, the probability of getting exactly 3 failing cars is is: $P(X=3)=0.041.$ b)From the table, the probability of getting at least 3 failing cars is: $P(X\geq3)=P(X=3)+P(X=4)+P(X=5)+P(X=6)=0.041+0.005+0+0=0.046.$ c)The result from b) because it gives us the probability for the range of 3 to 6 whilst a) only gives us the probability of 3. d) 3 is an unusually high number of girls, because 0.046<0.05.

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