Discuss the folloiwng in detail:
Q1) Let G be the event that a girl is born. Let F be the event that a baby over 5 pounds is born. Characterized the union and the intersection of the two events?
Q2) Consider the event that a player scores a point in a game against team A and the event that the same player scores a point in a game against team B. What is the union of the two events? What is the intersection of the two events?
Q3) A brokerage firm deals in stocks and bonds. An Analyst for the firm is interested in assessing the probability that a person who inquires about the firm will eventually purchase stock (event S) or bonds (event B). Define the union and the intersection of these two events.
Q4) A committee is evaluating six equally qualified candidates for a job. Only three of the six will be invited for an interview; among the chosen three, the order of invitation is of importance because the first candidate will have the best chance of being accepted, the second will be made an offer only in the committee should reject both the first and the second. How many possible ordered choices of three out of six candidates are there?