/*! 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} Question 80 Use the following information to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Question 80 (page 354)

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.

80. Find the 30thpercentile for the waiting times (in minutes).

a. two

b.2.4

c.2.75

d. three

Short Answer

Expert verified

The 30th percentile for the waiting time is (b)2.4minutes

Step by step solution

01

Defining the Probability density function 

The Probability density function is given by :

f(x)=1(b-a),x鈭�(a,b)

02

Finding the30th probability

According to provided information, the random variable X for arrival of sky train is following uniform distribution such that:

X~U(0,8)fora=0andb=8

So, the Probability density function will be :

f(x)=1(b-a)=18-0=18

And, the 30thpercentile will be :

P(x<k)=base脳height鈬�0.30=(k-0)(18)鈬�k=0.30脳8=2.4

Hence, option (b) 2.4is the correct answer.

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 total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive.

  1. Find aand band describe what they represent.
  2. Write the distribution.
  3. Find the mean and the standard deviation.
  4. What is the probability that the duration of games for a team for the 2011 season is between 480 and 500 hours?
  5. What is the 65th percentile for the duration of games for a team for the 2011 season?

The percent of persons (ages five and older) in each state who speak a language at home other than English is approximately exponentially distributed with a mean of 9.848. Suppose we randomly pick a state.

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 percent is less than 12.

h. Find the probability that the percent is between eight and 14.

i. The percent of all individuals living in the United States who speak a language at home other than English is 13.8.

i. Why is this number different from 9.848%?

ii. What would make this number higher than 9.848%?

The amount of time a service technician needs to change the oil in a car is uniformly distributed between 11 and 21 minutes. Let X = the time needed to change the oil on a car.

a. Write the random variable X in words. X = __________________.

b. Write the distribution.

c. Graph the distribution.

d. Find P (x > 19).

e. Find the 50th percentile.

At an urgent care facility, patients arrive at an average rate of one patient every seven minutes. Assume that the duration between arrivals is exponentially distributed.

a. Find the probability that the time between two successive visits to the urgent care facility is less than 2minutes.

b. Find the probability that the time between two successive visits to the urgent care facility is more than 15minutes.

c. If 10minutes have passed since the last arrival, what is the probability that the next person will arrive within the next five minutes?

d. Find the probability that more than eight patients arrive during a half-hour period.

Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000feet squared) of 28homes

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

In this distribution, outcomes are equally likely. What does this mean?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

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.