Question 1 5 pts The table below shows how many people out of customers of a shop were young or adult and make or did not make a purchase. Probability Rules Young (Y) Adult (A) Total P(not A) = 1 - P(A) Make purchase (MP) 1236 2134 3370 P(A or B) = P(A) + P(B) - P(A and B) Did not make purchase (NP) 1248 555 1803 P(Aif B) = P(A and B) Total 2484 P(B) 2689 5173 P(A if B) * P(B if A) a) Find the probability the random consumer is young. P(Y) = (Round the decimal answer to 3 decimal places) b) Find the probability the random consumer did not make a purchase. P(NP) = (Round the decimal answer to 3 decimal places) c) Find the probability the random consumer is an adult and did not make a purchase. P(A and NP) = (Round the decimal answer to 3 decimal places) d) Find the probability the random consumer is either young or did not make a purchase. P(Y or NP) = (Round the decimal answer to 3 decimal places) e) Find the probability the random consumer is young if he/she made a purchase. P(Y if MP) = (Round the decimal answer to 3 decimal places) f) Are events Y and A disjoint? ( Answer Y for yes and N for no)