The number of large cracks in a length of pavement along a certain street has a Poisson
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The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 m.
a. What is the probability that there will be exactly 8 cracks in a 500 m length of pavement?
b. What is the probability that there will be no cracks in a 100 m length of pavement?
c. Let T be the distance in meters between two successive cracks. What is the probability density function of T ?
d. What is the probability that the distance between two successive cracks will be more than 50 m?
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a Let X be the number of cracks in a 500 meter length ...View the full answer
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