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Tennis Challenge In the last U.S. Open tennis tournament,

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 3CRE Chapter 5.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 3CRE

Tennis Challenge In the last U.S. Open tennis tournament, there were 611 challenges made by singles players, and 172 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.

 

Challenge Upheld with Overturned Call

Challenge Rejected with No Change

Challenges by Men

121

279

Challenges by Women

51

160

a. If one of the 611 challenges is randomly selected, what is the probability that it resulted in an overturned call?

b. If one of the challenges made by the men is randomly selected, what is the probability that it resulted in an overturned call?

c. If one of the challenges made by the women is randomly selected, what is the probability that it resulted in an overturned call?

d. If one of the overturned calls is randomly selected, what is the probability that the challenge was made by a woman?

e. If two different challenges are randomly selected with replacement, find the probability that they both resulted in an overturned call.

f. If one of the 611 challenges is randomly selected, find the probability that it was made by a man or was upheld with an overturned call.

g. If one of the challenged calls is randomly selected, find the probability that it was made by a man given that the call was upheld with an overturned call.

Step-by-Step Solution:

Answer :

Step 1 :

Given, In the last U.S. Open tennis tournament, there were 611 challenges made by singles players, and 172 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender.

 

Challenge Upheld with Overturned Call

Challenge Rejected with No Change

Total

Challenges by Men

121

279

400

Challenges by Women

51

160

211

Total

172

439

611

If one of the 611 challenges is randomly selected, we have to find the probability that it resulted in an overturned call.

   

           There are 172 challenge upheld with overturned call

           The total of challenges is 611.

Therefor,

               the probability that it upheld with overturned call  = 172/611 = 0.2815

b) If one of the challenges made by the men is randomly selected, we have to find  the probability that it resulted in an overturned call.

      Challenge Upheld with Overturned Call made by men = 121

The total of challenges is 611

         

Therefore,

the probability that it resulted in an overturned call = 121/611 = 0.198

c) If one of the challenges made by the women is randomly selected, we have to find  the probability that it resulted in an overturned call.

            Challenge Upheld with Overturned Call made by women = 51

The total of challenges is 611

         

Therefore,

the probability that it resulted in an overturned call = 51/611 = 0.0835

d) If one of the overturned calls is randomly selected, we have to find the probability that the challenge was made by a woman

   There are 172 challenge upheld with overturned call

   There are 51 challenges made by women that resulted in overturned.

Therefore,

the probability that the challenge was made by a woman = 51/172 = 0.2965

e) If two different challenges are randomly selected...

Step 2 of 3

Chapter 5.5, Problem 3CRE is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This full solution covers the following key subjects: overturned, Call, challenges, Randomly, Probability. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 3CRE from 5.5 chapter was answered, more than 651 students have viewed the full step-by-step answer. The answer to “Tennis Challenge In the last U.S. Open tennis tournament, there were 611 challenges made by singles players, and 172 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender. Challenge Upheld with Overturned CallChallenge Rejected with No ChangeChallenges by Men121279Challenges by Women51160a. If one of the 611 challenges is randomly selected, what is the probability that it resulted in an overturned call?________________b. If one of the challenges made by the men is randomly selected, what is the probability that it resulted in an overturned call?________________c. If one of the challenges made by the women is randomly selected, what is the probability that it resulted in an overturned call?________________d. If one of the overturned calls is randomly selected, what is the probability that the challenge was made by a woman?________________e. If two different challenges are randomly selected with replacement, find the probability that they both resulted in an overturned call.________________f. If one of the 611 challenges is randomly selected, find the probability that it was made by a man or was upheld with an overturned call.________________g. If one of the challenged calls is randomly selected, find the probability that it was made by a man given that the call was upheld with an overturned call.” is broken down into a number of easy to follow steps, and 211 words. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The full step-by-step solution to problem: 3CRE from chapter: 5.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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