Open In App

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

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 6: Q. 43 (page 386)

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

Short Answer

Expert verified

The probability statement of the area to the left of one can be represented as $P (x < 1)$

Step by step solution

Given Information

Given in the question that a diagram

We have to represent the area to the left of one in a probability statement

Explanation

Let's consider the graph:

The left side area in the given graph shows the area to the left of $x$ .

This area is represented by the probability $P (X < x)$

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.

Start your free trial

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

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of $250$ feet and a standard deviation of $50$ feet.

a. If $X =$ distance in feet for a fly ball, then $X ~$ (------)

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than $220$ feet? Sketch the graph. Scale the horizontal axis $X$ . Shade the region corresponding to the probability. Find the probability.

c. Find the $80^{th}$ percentile of the distribution of fly balls. Sketch the graph, and write the 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 $95^{th}$ percentile, and express it in a sentence.

About what percent of $x$ values lie between the mean and one standard deviation?

Jerome averages $16$ points a game with a standard deviation of four points. $X ~ N (16, 4)$ . Suppose Jerome scores ten points in a game. The $z$ –score when $x = 10$ is $- 1.5$ . This score tells you that $x = 10$ is _____ standard deviations to the ______(right or left) of the mean______(What is the mean?).

See all solutions

Recommended explanations on Math Textbooks

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

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

Short Answer

Step by step solution

Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Discrete Mathematics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Company

Product

Help