Question

The time it takes to complete a degree at asu can be modeled as an exponential random variable with a mean equal to 5.5 years. what is the probability that it takes an asu student 4.5 or fewer years to graduate? express your answer to four decimal places.

Answer 1

0.5588

Explanation:

The CDF of an exponential function with mean μ is ...

CDF(x) = 1 - e^(-x/μ)

Then the probability that graduation will occur in 4.5 years or less is ...

P(x<4.5) = 1 - e^(-4.5/5.5) ≈ 0.558767 ≈ 0.5588