# Question

Five hundred employees were selected from a city’s large private companies, and they were asked whether or not they have any retirement benefits provided by their companies. Based on this information, the following two-way classification table was prepared.

a. If one employee is selected at random from these 500 employees, find the probability that this employee

i. Is a woman

ii. Has retirement benefits

iii. Has retirement benefits given the employee is a man

iv. Is a woman given that she does not have retirement benefits

b. Are the events “man” and “yes” mutually exclusive? What about the events “yes” and “no?” Why or why not?

c. Are the events “woman” and “yes” independent? Why or why not?

a. If one employee is selected at random from these 500 employees, find the probability that this employee

i. Is a woman

ii. Has retirement benefits

iii. Has retirement benefits given the employee is a man

iv. Is a woman given that she does not have retirement benefits

b. Are the events “man” and “yes” mutually exclusive? What about the events “yes” and “no?” Why or why not?

c. Are the events “woman” and “yes” independent? Why or why not?

## Answer to relevant Questions

A consumer agency randomly selected 1700 flights for two major airlines, A and B. The following table gives the two-way classification of these flights based on airline and arrival time. “less than 30 minutes late” ...Let A be the event that a number less than 3 is obtained if we roll a die once. What is the probability of A? What is the complementary event of A, and what is its probability? Find the joint probability of A and B for the following. a. P (A) = .36 and P (B | A) = .87 b. P (B) = .53 and P (A | B) = .22 Given that P (B) = .29 and P (A and B) = .24, find P (A | B). In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it. (Assume that there is no other outcome such as “no opinion” and “do not know.”) Three ...Post your question

0