In an automobile assembly line, a car can be produced with improperly fitted parts (i.e defective) with a probability P= 7%.
Let Y denote the number of cars inspected until finding one car with improperly fitted parts.
1- What is the distribution (type and parameters) of Y?
2- What is the probability that a car with improperly fitted parts is found after inspecting less than 3 automobiles?
3-What is the probability that a car with improperly fitted parts is found after inspecting exactly two automobiles?
4- What should be the value of P, when the probability that a car with improperly fitted parts is found after inspecting exactly two automobiles equal 9%
5- If the assembly line is producing 20 cars per day, what is the probability that exactly 5 of these cars are produced with improperly fitted parts?