/*! 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.22 Suppose X ~ N(鈥�1, 2). What is ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q.22 (page 385)

Suppose X ~ N(鈥�1, 2). What is the z-score of x = 2.

Short Answer

Expert verified

The value ofzscore is1.5

Step by step solution

01

Given Information 

Given in the question that X~N(鈭�1,2)

x=2

We have to find the zscore.

02

Explanation 

Let's consider the expression X~N(鈭�1,2)

Where,

渭=-1

蟽=2

Now, we can compute the zscore as follow:

z=x鈭�渭蟽

Place the given values in the above equation.

Then,

z=2鈭�(鈭�1)2

=2+12

=32

Simplify,

localid="1648722577874" z=1.5

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

How would you represent the area to the left of three in a probability statement?

What does a z-score measure?

Facebook provides a variety of statistics on its Web site that detail the growth and popularity of the site.

On average, 28 percent of 18 to 34 year olds check their Facebook profiles before getting out of bed in the morning. Suppose this percentage follows a normal distribution with a standard deviation of five percent.

a. Find the probability that the percent of 18 to 34-year-olds who check Facebook before getting out of bed in the morning is at least 30 .

b. Find the 95th percentile, and express it in a sentence.

a. Suppose a 15 to 18-year-old male from Chile was 176cm tall from 2009to 2010. The z-score when x=176 cm isz= _______. This z-score tells you that x=176cm is ________ standard deviations to the ________ (right or left) of the mean _____ (What is the mean?). b. Suppose that the height of a 15 to 18-year-old male from Chile from2009 to 2010 has a z-score of z=鈥�2. What is the male鈥檚 height? The z-score(z=鈥�2) tells you that the male鈥檚 height is ________ standard deviations to the __________ (right or left) of the mean.

X~N(3,5)蟽=____________
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure 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.