Question

According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Suppose that 20% of those who read e-mail while they are talking on the phone write personal "to-do" lists during meetings. Assuming that these figures are true for all workers, if a worker is randomly selected, determine the following probabilities:a. The worker reads e-mail while talking on the phone and writes personal "to-do" lists during meetings.p =b. The worker does not write personal "to-do" lists given that he reads e-mail while talking on the phone.p =c.The worker does not write personal "to-do" lists and does read e-mail while talking on the phone.p =

Answer 1

Answer:

0.54,0.8,0.368

Step-by-step explanation:

Given that according to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone.

Prob for persons who read email while talking on the phone = 54% = 0.54

Prob for persons who read email while talking on the phone to write to do lists = 0.20

Assuming that these figures are true for all workers, if a worker is randomly selected, the probability that

a. The worker reads e-mail while talking on the phone and writes personal "to-do" lists during meetings.

$p =0.54$

b. The worker does not write personal "to-do" lists given that he reads e-mail while talking on the phone.

$p =1-0.20=0.80$

c.The worker does not write personal "to-do" lists and does read e-mail while talking on the phone.

$p=(1-0.20)(1-0.54) = 0.368$