Question

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

Answer 1

f) Given no cracks in first 5 miles, what is probability that there are no cracks in the next 10 miles?

Answer 2

@kcurri @nm61101 @poptartninja2015

Answer 3

@whpalmer4