Problem 1You just got a job at a bank as a clerk.Given each scenario, identify the distribution andparameters ofX.If an approximate distribution is appropriate, name both the exact andapproximate distribution and parameters.a.(2 points)Customers come into the bank, and you’ve noticed that on average 3 customersper hour ask for a dollar coin. LetXbe the number of customers that ask for a dollarcoin during your shift of 5 hours.
b.(2 points)Each randomly selected penny has a probability of 3/375 to be a wheat penny(minted between 1909 - 1956). You have a pile of 500 independent pennies. LetXbe thenumber of wheat pennies in your pile.
c.(2 points)Sixty percent of your customers are male.LetXbe a success if the nextperson to enter the bank is a male.