/*! 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.15 f(x)a continuous probability fun... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q.15 (page 347)

f(x)a continuous probability function, is equal to 13and the function is restricted to 1鈮�x鈮�4. DescribePx>32.

Short Answer

Expert verified

The required probability isPx>32=0.83

Step by step solution

01

Given Information 

f(x)a continuous probability function is equal to 13.

The function is restricted to 1鈮�x鈮�4.

We need to describePx>32

02

Calculation

Here Xfollows a uniform distribution.

The area between 1鈮�x鈮�4forms a rectangle with Xaxis

Here,

Height=13

Base=4鈭�32

=8鈭�32

=2.5

Therefore, the required probability is,

Px>32=Base脳Height

=(2.5)脳13

=0.83

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

The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to eight minutes. Write the distribution, state the probability density function, and graph the distribution.

At a 911call center, calls come in at an average rate of one call every two minutes. Assume that the time that elapses from one call to the next has the exponential distribution.

a. On average, how much time occurs between five consecutive calls?

b. Find the probability that after a call is received, it takes more than three minutes for the next call to occur.

c. Ninety-percent of all calls occur within how many minutes of the previous call?

d. Suppose that two minutes have elapsed since the last call. Find the probability that the next call will occur within the next minute.

e. Find the probability that less than 20calls occur within an hour.

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as X~U(1.5,4.5).

What is the 90thpercentile of square footage for homes?

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rental鈥揷ar and long鈥搕erm parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.

79. What is the average waiting time (in minutes)?

a. zero

b. two

c. three

d. four

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

Write the probability density function
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Mechanics Maths

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.