Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The figure shown is the density curve of distribution. Seven values are marked on the density curve. Which of the following statements is true?

a. The mean of the distribution is E.

b. The area between B and F is 0.50.

c. The median of the distribution is C.

d. The 3rd quartile of the distribution is D.

e. The area under the curve between A and G is 1.

Short Answer

Expert verified

The correct option is (e) The area under the curve between A and G is 1

Step by step solution

01

Given information

02

Explanation

It's true because the area beneath the density curve is always one, and the region between Aand G is linked to the entire area beneath the density curve.

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 Vaia!

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

Outliers The percent of the observations that are classified as outliers by the 1.5ร—IQRrule is the same in any normal distribution. what is this percent? show your method clearly.

Are body weights Normal? The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2pounds. The first and third quartiles are 118.3 pounds and 157.3pounds. Is it reasonable to believe that the distribution of body weights for women aged 20to 29 is approximately Normal? Explain

your answer.

Deciles The deciles of any distribution are the points that mark off the lowest 10%and the highest 10%. The deciles of a density curve are therefore the points with area 0.1and 0.9to their left under the curve.

(a) What are the deciles of the standard Normal distribution?

(b) The heights of young women are approximately Normal with mean 64.5inches and standard deviation 2.5inches. What are the deciles of this distribution? Show your work

Two measures of center are marked on the density curve shown. Which of the following is correct?

a. The median is at the yellow line and the mean is at the red line.

b. The median is at the red line and the mean is at the yellow line.

c. The mode is at the red line and the median is at the yellow line.

d. The mode is at the yellow line and the median is at the red line.

e. The mode is at the red line and the mean is at the yellow line.

IQ test scores Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20to 34age group are approximately Normally distributed with ฮผ=110and ฯƒ=25. For each part, follow the fourstep process.

(a) At what percentile is an IQ score of 150?

(b) What percent of people aged 20to 34have IQs between 125and 150?

(c) MENSA is an elite organization that admits as members people who score in the top 2%on IQ tests. What score on the Wechsler Adult Intelligence Scale would an individual have to earn to qualify for MENSA membership?

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.

Sign-up for free