# Question: A fund manager is considering investing in a new software

A fund manager is considering investing in a new software firm based in India. The manager’s assessment of probabilities for rates of return on this stock over the next year is summarized in the accompanying table. Let A be the event “rate of return will be at least 10%” and B be the event “rate of return will be negative.”

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?

j. Are A and B collectively exhaustive?

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?

j. Are A and B collectively exhaustive?

**View Solution:**## Answer to relevant Questions

A manager has available a pool of 8 employees who could be assigned to a project-monitoring task. 4 of the employees are women and 4 are men. 2 of the men are brothers. The manager is to make the assignment at random so that ...Given A = [E1, E3, E7, E9] and B = [E2, E3, E8, E9]. a. What is A intersection B? b. What is the union of A and B? c. Is the union of A and B collectively exhaustive? The probability of A is 0.70, the probability of B is 0.80, and the probability of both is 0.50. What is the conditional probability of A, given B? Are A and B independent in a probability sense? A work crew for a building project is to be made up of 2 craftsmen and 4 laborers selected from a total of 5 craftsmen and 6 laborers. a. How many different combinations are possible? b. The brother of one of the craftsmen ...An inspector examines items coming from an assembly line. A review of his record reveals that he accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and ...Post your question