A market survey shows that 80% of the population used Brand Z computers last yea

Question

A market survey shows that 80% of the population used Brand Z computers last year, 5% of the population quit their jobs last year, and 4% of the population used Brand Z computers and then quit their jobs. Are the events of using Brand Z computers and quitting your job independent? Yes O No Is a user of Brand Z computers more or less likely to quit a job than a randomly chosen person? O A user of Brand Z computers is as likely to quit a job as a randomly chosen person. O A user of Brand Z computers is less likely to quit a job than a randomly chosen person. A user of Brand Z computers is more likely to quit a job than a randomly chosen person

Explanation / Answer

Let there are two events a and b, with probabilities, P(a) and P(b).

These both events are independent, if P(a n b) = P(a)*P(b)

Here, a = Brand Z customer, b = quits a job

P(a) = 0.8, P(b) = 0.05

P(a n b) = 0.04 (= 0.05*0.8)

Hence, both the events are independent.

(b) Since both the events are independent, A user of Brand Z is as likely to quit a job as a randomly chosen person.

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