/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 88. Winning at tennis A player servi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 88. (page 331)

Winning at tennis A player serving in tennis has two chances to get a serve into play. If the first serve goes out of bounds, the player serves again. If the second serve is also out, the player loses the point. Here are probabilities based on four years of the Wimbledon Championship:18 P(1st serve in) = 0.59 P(win point | 1st serve in) = 0.73 P(2nd serve in | 1st serve out) = 0.86P(win point | 1st serve out and 2nd serve in) = 0.59

(a) Make a tree diagram for the results of the two serves and the outcome (win or lose) of the point.

(b) What is the probability that the serving player wins the point? Show your work.

Short Answer

Expert verified

Part (b) P(Survive5years)=55.8%

Part (a) The tree diagram is

Step by step solution

01

Part (a) Step 1. Given Information

In tennis, a player setting has two chances to get a serve into play. Those receiving a new kidney have a 70% chance of living five years, whereas those who return to dialysis have a 50% chance.

02

Part (a) Step 2. Explanation

There are two choices, therefore at each knot, two branches are needed:

The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

03

Part (b) Step 1. Calculation 

Now, for each category of medial risk, determine the probability of paying using a credit card.

P(1stserve鈭�Winpoint)=0.59脳0.73=0.4307

P(1stserveout鈭�2ndserve鈭�winpoint)=0.41脳0.46脳0.59=0.20

Fill in the blanks with the corresponding probabilities:

P(winpoint)=0.4307+0.20034=0.63734=63.734%

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Genetics Suppose a married man and woman both carry a gene for cystic fibrosis but don鈥檛 have the disease themselves. According to the laws of genetics, the probability that their first child will develop cystic fibrosis is 0.25

(a) Explain what this probability means.

(b) Why doesn鈥檛 this probability say that if the couple has 4 children, one of them is guaranteed to get cystic fibrosis?

Universal blood donors People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2%, of the American population have O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor? Follow the four-step process.

Simulation blunders Explain what鈥檚 wrong with each of the following simulation designs.

(a) According to the Centers for Disease Control and Prevention, about 26%of U.S. adults were obese in 2008. To simulate choosing 8adults at random and seeing how many are obese, we could use two digits. Let 01to 26represent obese and 27to 00represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.

(b) Assume that the probability of a newborn being a boy is 0.5. To simulate choosing a random sample of 9babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.

Twenty of a sample of 275 students say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3 eat eggs but not fish, and 8 eat neither. Choose one of the vegetarians at random. What is the probability

that the chosen student eats neither fish nor eggs?

(a) 8/275=0.03 (c) 8/20=0.4 (e) 1

(b) 20/275=0.07 (d)

Keep on tossing The figure below shows the results of two different sets of 5000coin tosses. Explain what this graph says about chance behavior in the short run and the long run.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.