Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q.65 (page 287)

What values does X take on?

Short Answer

Expert verified

Xcan take any positive integer value from zero to positive perpetuity.
X=0,1,2,3,4,……

Step by step solution

01

:Given

Eighteen teens on mean dies due to engine instrument casualty every day.

02

Explanation

Xis a arbitrary variable who represents the no. of teens who die because of motor vehicle injuries. Xcan take any value 0,1,2,3,4…..
According to the given situation, we can easily say that X
follows the Poisson Distribution with parameter mean (λ)is 8 per day and friction(λ) is also 8 per day. In Poisson distribution Variance is equals to mean.
Poisson distribution occurs when there is not definite no. of trials or n→∞and circumstance of no. of events in a fixed time interval is fixed.

Probability mass function of Poisson distribution is: P(X=x)=eλxxx!x=0,1,2,3,4,....

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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 six exercises: On average, a clothing store gets 120customers per day.

Assume the event occurs independently in any given day. Define the random variable X.

The average number of fish caught in an hour is eight. Of interest is the number of fish caught in 15 minutes. The time interval of interest is 15 minutes. What is the average number of fish caught in 15 minutes?

A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 35%, and the probability that the dolphin does not successfully perform the trick is 65%. Out of 20 attempts, you want to find the probability that the dolphin succeeds 12 times. State the probability question mathematically.

Is it likely that there will be more than 20 teens killed from motor vehicle injuries on any given day in the U.S.? Justify your answer numerically.

Find the standard deviation.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Mechanics 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.

Sign-up for free