The number of parking tickets issued in a certain city on any given weekday has a Poisson

Question:

The number of parking tickets issued in a certain city on any given weekday has a Poisson with parameter µ = 50.
a. Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day.
b. Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225 and 275.
c. Use software to obtain the exact probabilities in (a) and (b) and compare to their approximations.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...