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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.$$\begin{array}{|l|l|l|l|l|}\hline \text { Name } & {\text { single }} & {\text { Double }} & {\text { Triple }} & {\text { Home Run }} & {\text { Total Hits }} \\ \hline \text { Babe Ruth } & {1,517} & {506} & {136} & {714} & {2,873} \\ \hline \text { Jackie Robinson } & {1,054} & {273} & {54} & {137} & {1,518} \\ \hline \text { Ty Cobb } & {3,603} & {174} & {295} & {114} & {4,189} \\ \hline \text { Hank Aaron } & {2,294} & {624} & {98} & {755} & {3,771} \\ \hline\end{array}$$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)

C

Intro Stats / AP Statistics

Chapter 3

Probability Topics

Section 3

Two Basic Rules of Probability

Sampling and Data

Descriptive Statistics

Temple University

University of North Carolina at Chapel Hill

Piedmont College

Cairn University

Lectures

0:00

01:07

Use the following informat…

01:21

03:37

Statistics from the 2009 M…

05:16

A. 300 hitter In baseball,…

01:25

Career Home Runs During hi…

00:51

00:23

Use the table shown.Wh…

01:19

Table 9.11 shows the home …

00:42

Out of 420 times at bat, a…

At Bats and Hits The data …

Hello. Welcome to the video. And today we're gonna be talking about probability, particularly how we can determine if two events are independent or not. In this problem, we're given a big table of values regarding various hits made by professional baseball players. If I'm not mistaken, they list four players, uh, most importantly, hang care and being one of them. And we are asked to determine if probability that any randomly selected hit on this chart was hit by Hank Aaron. And the event that the A randomly selected A hit is a double are independent events. And to do this, we have to determine whether or not the probability off Hank Aaron hitting it is the same or different if the probability of Hank Aaron hitting it given the hit, is a double, Um, and if if this is true, then they are, in fact independent. But if this part right here, given that that it needs to be a double. If this changes the probability that Hank Aaron hit it, then these two events are not independent. So, going into our chart, there are 3771 total hits made by Hank Aaron out of all the hits added together, which is 12,350 won and this equals 30.5% and we have to determine whether or not that is equal, which we've already determined. It's not onto the amount of doubles made by Hank Aaron, which is 624 divided by the total amount of doubles recorded, which is 15 77 and that equals 40.1%. And these air obviously not equal and therefore the fact that in this probability the fact that, um, the hit needed to be a double affected the probability of it being Hank Aaron. Because of that, these two events are therefore not independent. So our answer is No, they're not. And this is theano. This is the reason given in option C. So there's our final answer.

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