/*! 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}

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 45 (page 386)

Is P(x<1) equal to P(x鈮�1)? Why?

Short Answer

Expert verified

There is no existence in the equality in probability for continuous distribution.

Therefore, P(x<1)is equal to P(x鈮�1)

Step by step solution

01

Given information

Given in the question that P(x<1)andP(x鈮�1)

We have to determine whether P(x<1)is equal to P(x鈮�1)or not. Explain why

02

Explanation 

For continuous distribution, it is realized that the value of the probability at a specific point is zero on the grounds that the region under the curve for a specific point is zero.

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

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 80th percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

X~N(1,2)

蟽=

Suppose X~N(鈥�3,1). Between what xvalues does 34.14%of the data lie?

According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66inches and a standard deviation of 2.5inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.

a.X~_____(_____,_____)

b. Find the probability that the person is between 65and 69inches. Include a sketch of the graph, and write a probability statement.

c. Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and justify your answer numerically.

If the area to the right of x in a normal distribution is 0.543, what is the area to the left ofx?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

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.