/*! 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. 49 Use the following information to... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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 is the mean?

Short Answer

Expert verified

Mean is 5.

Step by step solution

01

Concept

As per provided information, X~Exp(0.2).

As per Equation of Exponential Distribution, role="math" localid="1648187330135" X~Exp(m).

Mean can be described as the reciprocal of decay variablem.

02

Finding the mean 

As per Step 1,

m=0.2

It is known that, Mean is the reciprocal of the decay variable m

role="math" localid="1648187916729" μ=1m=10.2=5

Therefore, the mean is 5.

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 91Ó°ÊÓ!

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 eight exercises. A distribution is given asX~U(0,12).

Find the 40thpercentile

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?

Use the following information to answer the next seven exercises. A distribution is given as X~Exp(0.75). Which is larger, the mean or the median?

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)

Are outcomes equally likely in this distribution? Why or why not?

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay parameter 120. Let X = the distance people are willing to commute in miles. What is m, μ, and σ? What is the probability that a person is willing to commute more than 25 miles?

See all solutions

Recommended explanations on Math Textbooks

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.