1. 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...

1. 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.