In: Statistics and Probability
Suppose that an engineer in charge of a car panel manufacturing process of 30 panels models the time to complete the manufacturing process to follow a gamma distribution with parameters α= 9 and β= 2. Let X represent the random variable that measures this time in minutes.
a) What is the mean of this distribution?
b) What is the standard deviation of this distribution?
c) Calculate P (8≤X≤16)
d) What is the 90th percentile of this distribution?