×
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.5 - Problem 7bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.5 - Problem 7bsc

×

# Answer: Aircraft Accidents. Assume that the Poisson

ISBN: 9780321836960 18

## Solution for problem 7BSC 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

4 5 1 361 Reviews
22
5
Problem 7BSC Problem 7BSC

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(10), the probability that in a month, there will be 10 aircraft accidents. Is it unlikely to have a month with exactly 10 aircraft accidents?

Step-by-Step Solution:
Step 1 of 3

Problem 7BSC

Step1 of 1:

We have the mean number of aircraft accidents in the United States is 8.5 per month.

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 = 2.71828.

We need to find P(10) = ?

Consider,

P(x) =

P(x = 10) =

=

= 0.1103.

Having 10 aircraft accidents in a month not unlikely because 10 falls within the usual range of values given in number(5).

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution