# Question: You are evaluating the player selection process used by a

You are evaluating the player selection process used by a major league baseball team. The team gives a bonus to 10% of the players that it signs to a contract, 30% of the players who were obtained through a trade, and the remainder did not receive a bonus. Examination of the player records for the past five years indicates that 40% of the players who were on the major league roster for at least one year received an initial signing bonus. In addition, 30% of the players on the major league roster for at least one year did not receive an initial signing bonus. The remaining players were obtained from trades. For those players who were signed and did not make the major league roster, 20% had received bonuses and 70% had not, with the remainder coming from trades. Of all players signed or obtained in trades, 20% are on the major league roster for at least one year.

a. What is the probability that a player who received a bonus is on the major league roster for at least one year?

b. What is the probability that a player who did not receive a bonus is on the major league roster for at least one year?

c. Should a player insist on a signing bonus because this will increase his probability of being on the major league roster?

a. What is the probability that a player who received a bonus is on the major league roster for at least one year?

b. What is the probability that a player who did not receive a bonus is on the major league roster for at least one year?

c. Should a player insist on a signing bonus because this will increase his probability of being on the major league roster?

## Answer to relevant Questions

Suppose that you have an intelligent friend who has not studied probability. How would you explain to your friend the distinction between mutually exclusive events and independent events? Illustrate your answer with suitable ...State, with evidence, whether each of the following statements is true or false: a. The probability of the union of two events cannot be less than the probability of their intersection. b. The probability of the union of two ...In a campus restaurant it was found that 35% of all customers order vegetarian meals and that 50% of all customers are students. Further, 25% of all customers who are students order vegetarian meals. a. What is the ...Faschip, Ltd., is a new African manufacturer of notebook computers. Their quality target is that 99.999% of the computers they produce will perform exactly as promised in the descriptive literature. In order to monitor their ...A company specializes in installing and servicing central-heating furnaces. In the prewinter period, service calls may result in an order for a new furnace. The following table shows estimated probabilities for the numbers ...Post your question