/*! 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

Color-blind men About7%of men in the United States have some form of red-green color blindness. Suppose we randomly select one U.S. adult male at a time until we find one who is red-green color-blind. How many men would we expect to choose, on average? Design and carry out a simulation to answer this question. Follow the four-step process.

Playing cards Shuffle a standard deck of playing cards and deal one card. Define events J: getting a jack, and R: getting a red card.

(a) Construct a two-way table that describes the sample space in terms of events J and R.

(b) Find P(J) and P(R).

(c) Describe the event 鈥�J and R鈥� in words. Then find P(JandR)

(d) Explain why P(JorR)鈮�P(J)+P(R) Then use the general addition rule to compute P(JorR).

Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are

college graduates who are currently employed, and 5%are college graduates who are not employed. Choose a customer at random.

(a) What鈥檚 the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?

(b) What鈥檚 the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the answer?

Nickels falling over You may feel it鈥檚 obvious that the probability of a head tossing a coin is about12because the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this 25time, and record the results.

(a) What鈥檚 your estimate for the probability that the

coin falls heads up? Why?

(b) Explain how you could get an even better estimate.

If I toss a fair coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is (a) 0.5. (b) less than 0.5 (c) greater than 0.5 (d) 0 (e) 1 Exercises 33 to 35 refer to the following setting. A basketball player makes 47% of her shots from the field during the season.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure 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.