A fund manager is considering investing in stock of a healthprovider. The manager's assessment of probabilities for rates of return of this stock overthe next year is summarized in the accompanying table. Let A be the event “Rate of returnwill be more than 10%” and B the event “Rate of return will be negative.” Rate of Return -10% or less More than -10% to 0.0% More than 0% to 10% More than 10% to 20% More than 20% Probability 0.04 0.28 0.33 0.14 0.21 a) Find the probability of event A b) Find the probability of event B c) Describe the event that is the complement of A d) Find the probability of the complement of A e) Describe the event that is the intersection of A and B f) Find the probability of the intersection of A and B g) Describe the event that is the union of A and B h) Find the probability of the union of A and B i) Are A and B mutually exclusive?Why j) Are A and B collectively exhaustive?Why