Johnson has recently opened his workshop at the main street of a major city in the North East. Johnson estimates about 20 cars arriving at his workshop for repairs every day. Based on industry data, he estimates that 40% of the arrivals 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.