/*! 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. 6 State two of the main reasons fo... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

State two of the main reasons for studying the normal distribution.

Short Answer

Expert verified

The normal distribution can be expressed with a bell-shaped curve.

The curve is as follows:

Step by step solution

01

Given Information 

What the two of the main reasons for studying the normal distribution.

02

Explanation 

The following are two of the most important reasons to learn the normal distribution.

The result of statistical information relating to practical phenomena can be simply interpreted using the normal distribution.

For example, blood pressure, school grades, and so on.

The normal distribution can be expressed with a bell-shaped curve.

The curve is as follows:

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

A variable is normally distributed with a mean 68and standard deviation 10. Find the percentage of all possible values of the variable that

a. lie between 73and 80.

h. are at least 75.

c. are at most 90.

Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traffic. Those records reveal that the times between arriving patients have a special type of reverse-J-shaped distribution called an exponential distribution. The records also show that the mean time between arriving patients is 8.78 minutes.

a. Use the technology of your choice to simulate four random samples of75 interarrival times each.

b. Obtain a normal probability plot of each sample in part (a).

c. Are the normal probability plots in part (b) what you expected? Explain your answer.

In 1902, W. R. Macdonell published the article "On Criminal Anthropometry and the Identification of Criminals" (Biometrika, Vol. 1. Pp. 177-227). Among other things. the author presented data on the left middle finger length, in centimeters. The following table provides the midpoints and frequencies of the finger-length classes used.

Use these data and the technology of your choice to assess the normality of middle finger length of criminals by using

a. a histogram.

b. a normal probability plot.

15. Explain how to use Table II to determine the z-score that has a specified area to its

a. left under the standard normal curve.

b. right under the standard normal curve.

Use Table to obtain the areas under the standard normal curve. Sketch a standard normal curve and shade the area of interest in each problem.

Find the area under the standard normal curve that lies to the right of

a. 2.02.

b. -0.56.

c. -4.

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.