Question 4

4% of all cars manufactured at a large auto company are defective. Suppose two cars are selected at random from the production line of this company. Let x denote the number of defective cars in this sample.

a) Write the probability distribution table and graph of x.

b) Draw a tree diagram for this problem.

c) What is the probability that both cars are good?

d) What is the probability that at least one car is bad?

e) What is the probabilitythat at most one car is good?

f) Calculate mean and standard deviation for the probability distribution of x. Explain your answer