According to an online survey by Harris Interactive for job site CareerBuilder.com, more than half of IT (information technology) workers say they have fallen asleep at work ( InformationWeek , September 27, 2007). Sixty-four percent of government workers admitted to falling asleep on the job. Consider the following contingency table that is representative of the survey results.

a. Convert the contingency table into a joint probability table.
b. What is the probability that a randomly selected worker is an IT professional?
c. What is the probability that a randomly selected worker slept on the job?
d. If a randomly selected worker slept on the job, what is the probability that he/she is an IT professional?

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Job Category Slept on the Job? Yes No IT Professional 155 145 Government Professional 256 144