×
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.7 - Problem 9e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.7 - Problem 9e

×

# The number of traffic accidents at a certain intersection ISBN: 9780073401331 38

## Solution for problem 9E Chapter 4.7

Statistics for Engineers and Scientists | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Statistics for Engineers and Scientists | 4th Edition

4 5 1 346 Reviews
30
2
Problem 9E

Problem 9E

The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3 accidents per year.

a. Find the mean waiting time between accidents.

b. Find the standard deviation of the waiting times between accidents.

c. Find the probability that more than one year elapses between accidents.

d. Find the probability that less than one month elapses between accidents.

e. If no accidents have occurred within the last six months, what is the probability that an accident will occur within the next year?

Step-by-Step Solution:

Solution

Step 1 of 6

The no.of traffic accidents follows a poisson process with mean of 3 accidents per year

Here The pmf of exponential distribution is The CDF of exponential distribution is Let X be the waiting time between the accidents

Step 2 of 6

Step 3 of 6

##### ISBN: 9780073401331

Unlock Textbook Solution