/*! 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. 35 Suppose聽X聽~聽N(鈥�3,聽1).聽Bet... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 35 (page 386)

SupposeX~N(鈥�3,1).Between what xvalues does 95.45%of the data lie? The range of xvalues is centered at the mean of the distribution(i.e., 鈥�3).

Short Answer

Expert verified

The95.45%of data lies between(-5,-1)

Step by step solution

01

Given Information

Given in the question that, X~N(鈥�3,1).

We have to find between what xvalues does 95.45%of the data lie?

02

Explanation 

According to the empirical rule of normal distribution, approximately 95%values xlies within two standard deviation of the mean.

Therefore, 95.45%of data also will lie approximately near to within two standard deviation of the mean.

From the information given in the question, the random variable xfollows normal distribution with parameter (-3,1)

Hence, the range of xvalues can be compute as follow:

=渭卤2蟽

=鈭�3卤2脳1

=鈭�3卤2

=(鈭�5,鈭�1)

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

In a normal distribution, x = 鈥�2 and z = 6. This tells you that x = 鈥�2 is ____ standard deviations to the ____ (right or left) of the mean.

Suppose X~N(15,3). Between what xvalues does 68.27%of the data lie? The range of xvalues is centered at the mean of the distribution (i.e., 15).

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.

Seventy percent of the time, it takes more than how many minutes to find a parking space?

a. 1.24

b. 2.41

c. 3.95

d. 6.05

A bottle of water contains 12.05fluid ounces with a standard deviation of 0.01ounces. Define the random variable Xin words. X=____________.

In a normal distribution, x = 鈥�5 and z = 鈥�3.14. This tells you that x = 鈥�5 is ____ standard deviations to the ____ (right or left) of the mean.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Logic and Functions

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.