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Chapter 3: Q.96 (page 226)

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?

a. Yes, because P(hit by Hank Aaron | hit is a double) =P(hit by Hank Aaron)

b. No, because P(hit by Hank Aaron | hit is a double) ≠P(hit is a double)

c. No, because P(hit is by Hank Aaron | hit is a double) ≠P(hit by Hank Aaron)

d. Yes, because P(hit is by Hank Aaron | hit is a double) =P(hit is a double)

Short Answer

Expert verified

The "hit being made by Hank Aaron" and the "hit being made by a double" are not independent events.

Step by step solution

01

Given information

Given the below data

02

Explanation

From the table, we get the following:

The probability that the hit is by Hank Aaron given that the hit is double is not equal to the probability hit by Hank Aaron.

P(hit is by Hank Aaron | hit is a double) = 6243771×157712351

P(hit by Hank Aaron) =377112351

Therefore, they are not independent events as,

P(hit is by Hank Aaron | hit is a double) ≠P(hit by Hank Aaron)

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