The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles.
X = distance between major cracks in miles.
X is an exponential random variable with cracks/mile.
a) What is the probability that there are no cracks in a 10 mile stretch?
b) What is the probability that there are 2 cracks in a 10 mile stretch?
c) What is the standard deviation of the distance between cracks?
d) What is the probability that the first major crack occurs between 12 & 15 miles?
e) What is the probability that there are no major cracks in two separate 5 mile stret
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f) Given no cracks in first 5 miles, what is probability that there are no cracks in the next 10 miles?