Assume that the number of calls to the U-District fire station in a week, X follows a Poisson distribution with lambda=14.

Assume that the number of calls to the U-District fire station in a week, X follows a Poisson distribution with lambda=14. Remember that the mean and variance of a Poisson random variable parameterized by lambda are both equal to lambda. This means that the expected number of calls the fire station receives in a given week is 124

For this lab, simulate 1000 samples from X of sizes n=5, 20, and 50, and calculate the sample mean each time. We will refer to these instances as as x5bar, x20bar and x50bar respectively.

For this scenario, round to TWO decimal places. 1.1.  What is the theoretical expectation for x5bar? 

Please enter 2 digits after the decimal point.