Answer: So, the probability of tuning an engine in 24 minutes or less is approximately 0.4512 or 45.12%.
Explanation: To calculate the probability of tuning an engine in 24 minutes or less using the exponential distribution with a mean of 40 minutes, we can use the cumulative distribution function (CDF) of the exponential distribution.
The CDF of the exponential distribution with mean (μ) is given by:
CDF(x) = 1 - e^(-x/μ)
where x is the time at which we want to find the probability (24 minutes in this case).
Now, let's calculate the probability of tuning an engine in 24 minutes or less:
CDF(24) = 1 - e^(-24/40)
= 1 - e^(-0.6)
≈ 1 - 0.5488
≈ 0.4512