/*! 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. 65 The mean of T聽is(a)聽110(b)聽14... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 65 (page 382)

The mean of Tis

(a)110

(b)140

(c)180

(d)195

(e)250

Short Answer

Expert verified

The mean ofTis option (c)180.

Step by step solution

01

Concept Introduction 

A mean is a measurement of center of gravity in a probability distribution, along with mean, median, and mode. In statistics, it is a measure of central tendency.

02

Explanation 

Given:

渭X=110

蟽X=10

渭Y=140

蟽Y=12

Property mean and variance (if Xand Yare independent):

localid="1649859475011" 渭aX+bY=a渭X+b渭Y蟽aX+bY2=a2渭X2+b2渭Y2

The obtained results are:

localid="1649859480196" 渭X+Y/2=渭X+12渭Y=110+12(140)=180

localid="1649859485292" 蟽X+Y/2=蟽X2+122蟽X22=102+14122鈮�11.66

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 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

Explain whether the given random variable has a binomial distribution Sowing seeds Seed Depot advertises that 85%of its flower seeds will germinate (grow). Suppose that the company鈥檚 claim is true. Judy buys a packet with 20flower seeds from Seed Depot and plants them in her garden. Let X=the number of seeds that germinate

53. The Tri - State Pick 3Refer to Exercise 42. Suppose you buy a $1 ticket on each of two different days.
(a) Find the mean and standard deviation of the total payoff. Show your work.
(b) Find the mean and standard deviation of your total winnings. Interpret each of these values in context.

Based on the analysis in Exercise 41, the ferry company decides to increase the cost of a trip to $6. We can calculate the company鈥檚 profit Yon a randomly selected trip from the number of cars X. Find the mean and standard deviation ofY. Show your work.

Fire insurance Suppose a homeowner spends \(300for a home insurance policy that will pay out \)200,000if the home is destroyed by fire. Let Y=the profit made by the company on a single policy. From previous data, the probability that a home in this area will be destroyed by fire is 0.0002.

(a) Make a table that shows the probability distribution of Y.

(b) Compute the expected value of Y. Explain what this result means for the insurance company

In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?

(a)n=10,p=0.5

(b)n=40,p=0.88

(c)n=100,p=0.2

(d)n=100,p=0.99

(e)n=1000,p=0.003
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

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.