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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 3e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.3 - Problem 3e

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# In a certain city, the number of potholes on a major ISBN: 9780073401331 38

## Solution for problem 3E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 3E

In a certain city, the number of potholes on a major street follows a Poisson distribution with a rate of 3 per mile. Let X represent the number of potholes in a two-mile stretch of road. Find

a. P(X = 4)

b. P(X ≤ 1)

c. P(5 ≤ X<8)

d. μX

e. σX

Step-by-Step Solution:

Step 1 of 6</p>

Let X represents no. of potholes

Here X follows poisson distribution with rate of 3 per mile

So The pmf of poisson distribution  is P(x)= , X=0,1,2,..............

Step 2 of 6</p>

a)P(X=4)=  = =0.168

Hence P(X=4)=0.168

Step 3 of 6</p>

b) P(X P(0)+P(1)

For that we need to find p(0) and p(1)

P(0)= =0.0498

P(1)= =0.1494

Step 4 of 6

Step 5 of 6

##### ISBN: 9780073401331

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