The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile. a. determine the probability mass function of the number of cracks (x) in 5 miles away. b. Find the probability that there are at least five cracks in 5 miles of highway that require repair. c. calculate the mean and variance of X.

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The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile.


a. determine the probability mass function of the number of cracks (x) in 5 miles away.
b. Find the probability that there are at least five cracks in 5 miles of highway that require repair.
c. calculate the mean and variance of X.

 

2. Find the probability that there are at least five cracks in 5 miles of
highway that require repair.
3. Calculate the mean and variance of X.
Transcribed Image Text:2. Find the probability that there are at least five cracks in 5 miles of highway that require repair. 3. Calculate the mean and variance of X.
Exercise 5.6 The number of cracks that need repair in a section of interstate highway
follows a Poisson distribution with a mean of two cracks per mile.
1. Determine the probability mass function of the number of cracks (X) in
5 miles of highway.
Transcribed Image Text:Exercise 5.6 The number of cracks that need repair in a section of interstate highway follows a Poisson distribution with a mean of two cracks per mile. 1. Determine the probability mass function of the number of cracks (X) in 5 miles of highway.
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