The question is stated in the pic below

1. Forty automobiles are to be inspected for emission compliance. Thirty are compliant but ten are not. A sample of 5 cars is chosen at random. a. [C-4] What is a suitable probability distribution model in this case? Justify your choice. Use google-sheet file to construct full probability distribution and histogram. Determine the expected number of compliant cars. b. [T-4] Use proper notation and formula to evaluate the probability that: (i) all cars are compliant; (ii) at least 4 are compliant