/*! 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. 49 El Dorado Community College has ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 49 (page 389)

El Dorado Community College has a main campus in the suburbs and a downtown campus. The amount X spent on tuition by a randomly selected student at the main campus has mean 732.50 and standard deviation 103. The amount Y spent on tuition by a randomly selected student at the downtown campus has mean 825 and standard deviation 126.50. Suppose we randomly select one full-time student from each of the two campuses. Calculate and interpret the mean of the sumS=X+Y.

Short Answer

Expert verified

The Average mean of the main campus and downtown campus is15570.50

Step by step solution

01

Given information

The main campus mean 732.50, standard deviation 103

The downtown campus mean 825,standard deviation 126.50

渭X=732.50蟽X=103渭Y=825蟽Y=126.50

X = Amount spent on tuition by students on the main campus who were chosen at random.

Y= Amount spent on tuition by students on the downtown campus who were chosen at random.

02

Calculations

渭=渭X+渭Y=732.50+825=1557.50

There are two mean of two unique irregular factors 渭X=732.50 and 渭Y=825 so the mean of the two arbitrary variable will be the amount of their means. The aggregate sum spent on both the principal grounds and downtown grounds will be normal15570.50

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

Time and motion A time-and-motion study measures the time required for an assembly-line worker to perform a repetitive task. The data show that the time required to bring a part from a bin to its position on an automobile chassis varies from car to car according to a Normal distribution with mean 11seconds and standard deviation 2seconds. The time required to attach the part to the chassis follows a Normal distribution with mean 20seconds and standard deviation 4seconds. The study finds that the times required for the two steps are independent. A part that takes a long time to position, for example, does not take more or less time to attach than other parts.

(a) Find the mean and standard deviation of the time required for the entire operation of positioning and attaching the part.

(b) Management鈥檚 goal is for the entire process to take less than 30seconds. Find the probability that this goal will be met. Show your work

Ms. Hall gave her class a 10-question multiple-choice quiz.

LetX=the number of questions that a randomly selected student in the class answered correctly. The computer output gives information about the probability distribution of X. To determine each student鈥檚 grade on the quiz (out of 100), Ms. Hall will multiply his or her number of correct answers by 5and then add 50. Let G=the grade of a randomly chosen student in the class.

More easy quiz

a. Find the mean of G.

b. Find the range of G.

Baby elk Refer to Exercise 77 . How surprising would it be for more than 4 elk in the sample to survive to adulthood? Calculate an appropriate probability to support your answer.

Red light! Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55%chance that the light will be red on a randomly selected work day. Suppose we choose 10 of Pedro's work days at random and let Y=the number of times that the light is red.

a. Explain why Yis a binomial random variable.

b. Find the probability that the light is red on exactly 7 days.

Exercises 21 and 22 examine how Benford鈥檚 law (Exercise 9) can be used to detect fraud.

Benford鈥檚 law and fraud A not-so-clever employee decided to fake his monthly expense report. He believed that the first digits of his expense amounts should be equally likely to be any of the numbers from 1 to 9. In that case, the first digit Yof a randomly selected expense amount would have the probability distribution shown in the histogram.

(a) What鈥檚 P(Y<6)? According to Benford鈥檚 law (see Exercise 9), what proportion of first digits in the employee鈥檚 expense amounts should be greater than 6? How could this information be used to detect a fake expense report?

(b) Explain why the mean of the random variable Yis located at the solid red line in the figure.

(c) According to Benford鈥檚 law, the expected value of the first digit is 渭X=3.441. Explain how this information could be used to detect a fake expense report.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Decision 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.