/*! 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.6.17 Three points X1,X2,X3 are select... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q.6.17 (page 279)

Three points X1,X2,X3 are selected at random on a line L. What is the probability thatX2 lies between X1andX3?

Short Answer

Expert verified

The probability that X2lies between X1andX3is13

Step by step solution

01

To find

The probability thatX2lies between X1andX3

02

Explanation

Three points to consider On a line L,X1,X2,X3are chosen at random.

The number of ways to arrange n items all at once=n!.

Total number of point=3As a result, the number of ways to arrange three points on a line is=3!=6

The possible arrangements are:

X1X2X3X1X3X2X2X1X3X2X3X1X3X1X2X3X2X1

Out of these X2liesbetweenX1andX3in2arrangements

Therefore X2liesbetweenX1andX3=26=13

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

Letr=r1+...+rk,where all ri are positive integers. Argue that if X1, ... , Xr has a multinomial distribution, then so does Y1, ... , Yk where, with

r0=0,

Yi=鈭�j=ri-1+1ri-1+riXj,i鈮�kThat is, Y1 is the sum of the first r1 of the Xs, Y2 is the sum of the next r2, and so on

Let X and Y denote the coordinates of a point uniformly chosen in the circle of radius 1centered at the origin. That is, their joint density is f(x,y)=1蟺x2+y2鈮�1.

Find the joint density function of the polar coordinates R=(X2+Y2)1/2 and 胃=tan-1Y/X.

Show that the median of a sample of size 2n+1from a uniform distribution on (0,1) has a beta distribution with parameters (n+1,n+1).

Let U denote a random variable uniformly distributed over (0, 1). Compute the conditional distribution of U given that

(a) U > a;

(b) U < a; where 0 < a < 1.

The joint density function of X and Y is f(x,y)=xy鈥呪赌呪赌呪赌�0<x<1,0<y<20鈥呪赌呪赌呪赌�otherwise

(a) Are X and Y independent?

(b) Find the density function of X.

(c) Find the density function of Y.

(d) Find the joint distribution function.

(e) FindE[Y].

(f) FindP[X+Y<1]
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Calculus

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.