Johnson has recently opened his workshop at the main street of a major city in the North East. Johnson estimates that 40% of 20 cars arriving at his workshop will agree to have the work repaired at his workshop. His average daily cost at the workshop is $1200. He expects to make a revenue of $200 for each car that is repaired. Johnson would like to know the following information:

a) The probability that no car will arrive at his workshop for repair on a given day.

b) The probability that he will have at least 4 cars to repair on a given day.

c) The expected daily profit assuming that he is able to repair all the arriving cars in a day.

d) Develop a probability distribution for this problem.