I KNOW ANSWERS BUT WANT THE STEP BY STEP SOLUTION, ANSWERS GIVEN IN THE QUESTION.

Is a product green? Recall that a green product is one built from recycled materials that has minimal impact on the environment. The reasons why a consumer identifies a product as green are summarized in the next table. Consider interviewing consumers, at random. Let Y represent the number of consumers who must be interviewed until one indicates something other than information given directly on the products label or packaging as the reason a product is green.

a. Give a formula for the probability distribution of Y.

b. What is E(Y)? Interpret the result. (The final answer is 2.5.)

c. Find P(Y=1) (The final answer is 0.4)

d. Find P(Y>2) (The final answer is 0.36)

Reason for saying a product is green Certification mark on label Packaging Reading information about the product12 Advertisement Brand website Other TOTAL Percentage of consumers 45 15 6 4 18 100