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Chapter 5: Q. 1 (page 344)

Which type of distribution does the graph illustrate?

Short Answer

Expert verified

The given graph in the problem represents the uniform distribution.

Step by step solution

01

Given Information

Given in the question shows that the graph

02

Explanation

The supplied graph in the problem illustrates a uniform distribution because the capacity worth is the same for each of the x-axis points.

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Most popular questions from this chapter

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rental–car and long–term 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

Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to eight minutes.

a. Define the random variable.X= ________________.

b. Is Xcontinuous or discrete?

c.X~ ________

d.μ= ________

e.σ=________

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

g. Find the probability that a phone call lasts less than nine minutes.

h. Find the probability that a phone call lasts more than nine minutes.

i. Find the probability that a phone call lasts between seven and nine minutes.

j. If 25phone calls are made one after another, on average, what would you expect the total to be? Why?

Suppose that on a certain stretch of highway, cars pass at an average rate of five cars per minute. Assume that the duration of time between successive cars follows the exponential distribution.

a. On average, how many seconds elapse between two successive cars?

b. After a car passes by, how long on average will it take for another seven cars to pass by?

c. Find the probability that after a car passes by, the next car will pass within the next 20 seconds.

d. Find the probability that after a car passes by, the next car will not pass for at least another 15 seconds.

A distribution is given as X~U(0,20). What is P(2<x<18)? Find the90thpercentile.

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

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