/*! 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} Q18 In Exercises 5鈥�36, express all... [FREE SOLUTION] | 魅影直播

魅影直播

Log out

Learning Materials

Features

Discover

Chapter 4: Q18 (page 175)

In Exercises 5鈥�36, express all probabilities as fractions.

Teed Off When four golfers are about to begin a game, they often toss a tee to randomly select the order in which they tee off. What is the probability that they tee off in alphabetical order by last name?

Short Answer

Expert verified

The probability that the golfers tee off in alphabetical order by the last name is 124.

Step by step solution

01

Given information

Four golfers toss a tee to decide the order in which they tee off.

02

Define factorial

The total number of possible arrangements of a given set of units (n) is computed using thefactorialformula.

n!=n脳n-1脳n-2脳...1

03

Calculation

Let A be the event that the golfers tee off in alphabetical order of the last name.

The total number of ways in which they can tee off is calculated below:

4!=4脳3脳2脳1=24

The number of ways in which they can tee off in alphabetical order is one.

The probability that the golfers tee off in alphabetical order of the last name

PA=NumberoffavourablewaysTotalnumberofways=124

Therefore, the probability that the golfers tee off in alphabetical order of the last name is equal to 124.

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 魅影直播!

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

In Exercises 29 and 30, find the probabilities and indicate when the 鈥�5% guideline for cumbersome calculations鈥� is used.

Medical Helicopters In a study of helicopter usage and patient survival, results were obtained from 47,637 patients transported by helicopter and 111,874 patients transported by ground (based on data from 鈥淎ssociation Between Helicopter vs Ground Emergency Medical Services and Survival for Adults with Major Trauma,鈥� by Galvagno et al., Journal of the American Medical Association, Vol. 307, No. 15).

a. If 1 of the 159,511 patients in the study is randomly selected, what is the probability that the subject was transported by helicopter?

b. If 5 of the subjects in the study are randomly selected without replacement, what is the probability that all of them were transported by helicopter

In Exercises 9鈥�20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

Taco Bell

Order Accurate

329

264

249

145

OrderNotAccurate

33

54

31

13

Fast Food Drive-Thru Accuracy If three different orders are selected, find the probability that they are all from 奥别苍诲测鈥檚

Odds. In Exercises 41鈥�44, answer the given questions that involve odds.

Relative Risk and Odds Ratio In a clinical trial of 2103 subjects treated with Nasonex, 26 reported headaches. In a control group of 1671 subjects given a placebo, 22 reported headaches. Denoting the proportion of headaches in the treatment group by ptand denoting the proportion of headaches in the control (placebo) group by role="math" localid="1644405830274" pc, the relative risk is ptpc. The relative risk is a measure of the strength of the effect of the Nasonex treatment. Another such measure is the odds ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control (placebo) group, found by evaluating the following:pt/1-ptpc/1-pc

The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the relative risk and odds ratio for the headache data. What do the results suggest about the risk of a headache from the Nasonex treatment?

In Exercises 13鈥�20, express the indicated degree of likelihood as a probability value between 0 and 1.

Randomness When using a computer to randomly generate the last digit of a phone number to be called for a survey, there is 1 chance in 10 that the last digit is zero

In Exercises 29 and 30, find the probabilities and indicate when the 鈥�5% guideline for cumbersome calculations鈥� is used.

Medical Helicopters In the same study cited in the preceding exercise, among the 47,637 patients transported by helicopter, 188 of them left the treatment center against medical advice, and the other 47,449 did not leave against medical advice. If 40 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left the treatment center against medical advice?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

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.