/*! 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} Problem 28 In a statistics class of 42 stud... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In a statistics class of 42 students, 28 have volunteered for community service in the past. Find the probability that a randomly selected student from this class has volunteered for community service in the past.

Short Answer

Expert verified
The probability that a randomly selected student from this class has volunteered for community service is approximately 66.67%

Step by step solution

01

Identify outcomes

Identify the total number of outcomes and the number of desired outcomes. Here, the total number of students in the statistics class, which are our total outcomes, is 42. Out of these, the number of students who have volunteered for community service, which are our desired outcomes, is 28.
02

Compute the ratio

Compute the ratio of the number of desired outcomes to the total number of outcomes. This can be done by dividing the number of students who have volunteered which is 28 by the total number of students which is 42. This would give us \(\frac{28}{42}= 0.6666...\)
03

Compute the percentage

To find the probability as a percentage, multiply the previous result (Step 2) by 100. Which gives us \(0.6666... * 100 = 66.66%\)

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 91Ó°ÊÓ!

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

Two thousand randomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses obtained $$\begin{array}{lcc} \hline & \text { Have Shopped } & \text { Have Never Shopped } \\ \hline \text { Male } & 500 & 700 \\ \text { Female } & 300 & 500 \\ \hline \end{array}$$ a. Suppose one adult is selected at random from these 2000 adults. Find the following probabilities. i. \(P(\) has never shopped on the Internet and is a male) ii. \(P(\) has shopped on the Internet \(a n d\) is a female) b. Mention what other joint probabilities you can calculate for this table and then find those. You may draw a tree diagram to find these probabilities.

According to the U.S. Census Bureau's most recent data on the marital status of the 238 million Americans aged 15 years and older, \(123.7\) million are currently married and \(71.5\) million have never been married. If one person from these 238 million persons is selected at random, find the probability that this person is currently married or has never been married. Explain why this probability is not equal to \(1.0\).

Five hundred employees were selected from a city's large private companies, and they were asked whether or not they have any retirement benefits provided by their companies. Based on this information, the following two-way classification table was prepared $$\begin{array}{llc} \hline & \text { Yes } & \text { No } \\ \hline \text { Men } & 225 & 75 \\ \text { Women } & 150 & 50 \\ \hline \end{array}$$ Suppose one employee is selected at random from these 500 employees. Find the following probabilities. a. The probability of the union of events "woman" and "yes" b. The probability of the union of events "no" and "man'

A company has installed a generator to back up the power in case there is a power failure. The probability that there will be a power failure during a snowstorm is \(.30\). The probability that the generator will stop working during a snowstorm is .09. What is the probability that during a snowstorm the company will lose both sources of power? Note that the two sources of power are independent.

A restaurant menu has four kinds of soups, eight kinds of main courses, five kinds of desserts, and six kinds of drinks. If a customer randomly selects one item from each of these four categories, how many different outcomes are possible?

See all solutions

Recommended explanations on Math Textbooks

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.