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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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Left-Handedness Among Americans, 9.7% of males are

Chapter 8, Problem 6CRE

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QUESTION: Problem 6CRE

Left-Handedness Among Americans, 9.7% of males are left-handed and 12.5% of females are left-handed.

a. If three females are randomly selected, find the probability that they are all left-handed. When randomly selecting three females, is it unlikely that all of them are left-handed? Why or why not?

b. If one male is randomly selected and one female is randomly selected, find the probability that they are both left-handed.

c. If five females are randomly selected, find the probability that at least one of them is left-handed.

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QUESTION: Problem 6CRE

Left-Handedness Among Americans, 9.7% of males are left-handed and 12.5% of females are left-handed.

a. If three females are randomly selected, find the probability that they are all left-handed. When randomly selecting three females, is it unlikely that all of them are left-handed? Why or why not?

b. If one male is randomly selected and one female is randomly selected, find the probability that they are both left-handed.

c. If five females are randomly selected, find the probability that at least one of them is left-handed.

ANSWER:

Solution 6CRE

(a)

We are given that among Americans, 12.5% of females are left handed. So, the probability that a randomly selected female is left handed is 0.125. If three females are randomly selected, then by using multiplication rule, the probability that they are all left-handed is

P(all three females are left handed) = (0.125)3

                                         = 0.00195

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