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Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

Graph the distribution

Short Answer

Expert verified

The graph related to the provided Exponential Distribution will be

Step by step solution

01

Concept of the given Exponential Distribution

As per given details, X~Exp(0.2)

Here, m=0.2

General form of Probability Density Function of Exponential Distribution,

f(x)=me-mx

Replacing mwith 0.2we get,

f(x)=0.2e-0.2x

The above expression shows the probability density function of the problem.

02

Calculation of Mean

Mean of the given Expression is;

μ=1m=10.2=5

03

Developing the Graph 

With the help of the gathered data, now development of the graph of the probability density function can be done. The maximum value that can be carried by f(x)which will be present on the localid="1648296710002">y-axisand at x=0will be;

f(0)=0.2e-0.2×0=0.2e0=0.2=m

Thus, it is proved that maximum value of f(x)will be equal to the value of m.

The graph can be developed as;

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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.

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

a. zero

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c. three

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Consider the following experiment. You are one of 100 people enlisted to take part in a study to determine the percent of nurses in America with an R.N. (registered nurse) degree. You ask nurses if they have an R.N. degree. The nurses answer “yes” or “no.” You then calculate the percentage of nurses with an R.N. degree. You give that percentage to your supervisor. a. What part of the experiment will yield discrete data? b. What part of the experiment will yield continuous data

Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X~Exp(0.2)

What type of distribution is this?

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.

The distribution for Xis ______.

The number of miles driven by a truck driver falls between 300and700, and follows a uniform distribution.

a. Find the probability that the truck driver goes more than 650miles in a day.

b. Find the probability that the truck drivers goes between 400and650miles in a day.

c. At least how many miles does the truck driver travel on the furthest 10%of days?

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