The time required to load a truck is exponentially distribut

The time required to load a truck is exponentially distributed with a mean of 30 minutes. What is the probability that a truck will take no more than 43 minutes to load? Enter your answer as a decimal rounded to 3 decimal places.

Solution

Exponential distribution with parameter;
Mean E(X) = = 1/30
P(X < = 43) = 1 - e^43 = 1 - e ^(-43/30) = 0.7614 ~ -.761