The time X in minutes between arrival of consecutive customers into a bank has the probability density function given below: f(x)={41e−41x0x≥0 otherwise a. Find the mean and variance in the time between arrivals. b. What is the probability that the time between arrivals is greater than 3 minutes? Instructions: Start by finding the anti-derivative of the function f(x), and then use integration to answer all parts of the question. No grades will be given for just plugging numbers into formulas.