According to a survey published by ComPsych Corporation, 54% of all workers read

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:

*(Round your answers to 3 decimal places.)
**(Round your answer to 2 decimal places.)

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 =

Explanation / Answer

A: workers read e-mail while they are talking on the phone

B:write personal "to-do" lists during meetings

P(A)=0.54 and P(B given A)=0.2

a) P(A and B)=P(B given A)*P(A) =0.2*0.54=0.108

b) P(not B given A) is 1-0.2=0.8

c) P(not B and A)=P(not B given A)*P(A) =0.8*0.54=0.432

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