/*! 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 4.2. About what proportion of observa... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q 4.2. (page 103)

About what proportion of observations lie between 7and 8?

Short Answer

Expert verified

The proportion of observation lies between 7 and 8 is 0.12

Step by step solution

01

Step 1. Given

02

Step 2. Concept

A density curve has the same area underneath it as the horizontal axis and is always on or above it. A density curve depicts the overall pattern of distribution. The proportion of all observations that fall within an interval of values on the horizontal axis is represented by the area under the curve and above that interval.

03

Step 3. Calculation

Calculate the percentage of observations that fall between 7 and 8.

That is correct.

P(7<X<8)

P(7<X<8)=鈭�78f(x)dx=鈭�780.12dx=0.12

As a result, 100% of the observations are lie between 7 and 8 is 0.12

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

Tall or short? Mr. Walker measures the heights (in inches) of the students in one of his classes.

He uses a computer to calculate the following numerical summaries: Next, Mr. Walker has his entire class stand on their chairs, which are 18 inches off the ground. Then he measures the distance from the top of each student鈥檚 head to the floor.

(a) Find the mean and median of these measurements. Show your work.

(b) Find the standard deviation and IQR of these measurements. Show your work.

Follow the method shown in the examples to answer each of the following questions. Use your calculator or the Normal Curve applet to check your answers.

1. Cholesterol levels above 240mg/dlmay require medical attention. What percent of 14-year-old boys have more than 240mg/dlof cholesterol?

T2.5. The average yearly snowfall in Chillyville is Normally distributed with a mean of 55 inches. If the snowfall in Chillyville exceeds 60inches in 15% of the years, what is the standard deviation?
(a) 4.83 inches
(d) 8.93 inches
(b) 5.18 inches
(c) The standard deviation
(c) 6.04 inches cannot be computed from the given information.

Density curves Sketch a density curve that might describe a distribution that is symmetric but has two peaks.

R2.9 low-birth-weight babies Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is Normal with a mean of 3668 grams and a standard deviation of 511 grams. 17 Babies that weigh less than 2500 grams at birth are classified as "low birth weight."

(a) What percent of babies will be identified as having low birth weight? Show your work.

(b) Find the quartiles of the birth weight distribution. Show your work.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

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.