/*! 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.5.1 Consider the function f(x)=18 fo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q.5.1 (page 316)

Consider the function f(x)=18 for 0鈮�x鈮�8. Draw the graph of f(x) and find P(2.5<x<7.5).

Short Answer

Expert verified

The graph of the P(2.5<x<7.5)is

The value of theP(2.5<x<7.5)will be0.625

Step by step solution

01

Given information

Given in the question that the function f(x)=18for 0鈮�x鈮�8

02

Solution

Here,

f(x)=18,鈥呪赌呪赌呪赌�0鈮�x鈮�80,鈥呪赌呪赌呪赌�otherwise

The graph of f(x)for P(2.5<x<7.5)is drawn below,

03

Solution

Again the required probability will be

P(2.5<x<7.5)=base脳height

=(7.5鈭�2.5)脳18

=5脳18

=0.625

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

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. Find the average age of the cars in the lot.

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 P(x<3.5|x<4)?

The time (in years) after reaching age 60that it takes an individual to retire is approximately exponentially distributed with a mean of about five years. Suppose we randomly pick one retired individual. We are interested in the time after age

60to retirement.

a. Define the random variable.X=_________________________________.

b. Is Xcontinuous or discrete?

c.X~=________

d.渭=________

e.蟽=________

f. Draw a graph of the probability distribution. Label the axes.

g. Find the probability that the person retired after age 70.

h. Do more people retire before age 65or after age 65?

i. In a room of 1,000people over age 80, how many do you expect will NOT have retired yet?

Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).

a. X ~ _________

b. Graph the probability distribution.

c. f(x) = _________

d. 矛 = _________

e. 贸 = _________

f. Find the probability that a person is born at the exact moment week 19 starts. That is, find P(x = 19) = _________

g. P(2 < x < 31) = _________

h. Find the probability that a person is born after week 40.

i. P(12 < x|x < 28) = _________

j. Find the 70th percentile.

k. Find the minimum for the upper quarter

A random number generator picks a number from one to nine in a uniform manner.

a. X ~ _________

b. Graph the probability distribution.

c. f(x) = _________

d. 渭 = _________

e. 蟽 = _________

f. P(3.5 < x < 7.25) = _________

g. P(x > 5.67)

h. P(x > 5|x > 3) = _________

i. Find the 90th percentile
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Pure 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.