×
Log in to StudySoup
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.5 - Problem 5bsc
Join StudySoup for FREE
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.5 - Problem 5bsc

Already have an account? Login here
×
Reset your password

Aircraft Accidents. Assume that the Poisson distribution

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 5BSC Chapter 5.5

Elementary Statistics | 12th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

4 5 1 396 Reviews
27
0
Problem 5BSC

Problem 5BSC

Aircraft Accidents. Assume that the Poisson distribution applies, assume that the mean number of aircraft accidents in the United States is8.5per month (based on data from the National Transportation and Safety Board), and proceed to find the indicated probability.

Find P(0), the probability that in a month, there will be no aircraft accidents. Is it unlikely to have a month with no aircraft accidents?

Step-by-Step Solution:

Answer:

Step 1:

            The poisson distribution is applies,assume that the mean number of aircraft accidents in the United States is 8.5 per month.

            The mean and variance of poisson distribution is same. That is ‘

                Therefore

    Consider a random variable “x” follows poisson distribution with sample size “n” and proportion “p”.

                     i,e.X P()

Probability mass function of poisson distribution is given by

            P(x) = , x = 0,1,2,...,n.

            Where, e is a eulerian number.

                   e = 2.71828. ( constant value)

              Here we have to find P(0), the probability that in a month, there will be no aircraft accidents.

      Using the formula for Probability mass function of poisson distribution, we have

                       P(x = 0) =  = 0.000203.

     Yes, it is unlikely to have a month with no aircraft accident since the usual number of aircraft accidents.

            Using the range rule of thumb,

             Minimum = μ – 2σ

                            = 8.5 - 2()

                            = 2.66 accidents.

          Maximum = μ + 2σ

                         =8.5 + 2()

                         = 14.33 accidents.

           

Step 2 of 1

Chapter 5.5, Problem 5BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: accidents, aircraft, month, assume, Probability. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “Aircraft Accidents. Assume that the Poisson distribution applies, assume that the mean number of aircraft accidents in the United States is8.5per month (based on data from the National Transportation and Safety Board), and proceed to find the indicated probability.Find P(0), the probability that in a month, there will be no aircraft accidents. Is it unlikely to have a month with no aircraft accidents?” is broken down into a number of easy to follow steps, and 63 words. Since the solution to 5BSC from 5.5 chapter was answered, more than 665 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5BSC from chapter: 5.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Aircraft Accidents. Assume that the Poisson distribution