The time between surface finish problems in a galvanizing process is exponentially distributed with a mean a 40 hours. A single plant operates three galvanizing lines that are assumed to operate independently.
a) What is the probability that none of the lines experience a surface finish problems in 40 hours of operations?
b) What is the probability that all three lines experience a surface finish problem between 20 and 40 hours of operation?
c) Why is the joint probability density function not needed to answer the previous questions?
The expert examines the joint probability distributions for the time between surface finish problems. Neat, step-by-step solutions are provided.