The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean

Distance

Generally the equation for Exponential distribution is mathematically given by

Therefore

Possion Y

Generally the equation for  The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.