According to an online survey by Harris Interactive for job site CareerBuilder.c

Question

According to an online survey by Harris Interactive for job site CareerBuilder.com, more than halt of I finformation technelogy) workers say they have fallen asleep at work (informationWeek, September 27, 2007). Saty-four percent government following contingency table that is representative of the survey results of government workers admitted to falling asleep on the job. Consider the Job Category 256 1. convert the contingency table into a probability table Slept on the Jeb? 2. What is the probability that a randomly selected worker is an IT professional? 3. What is the probability that a randomly selected worker slept on the job? iF A randong selected worker slepton He Job, what is the PYo bab: ,ty that he/she is an a Yan d omly selected wWorker is o goverment Profestonat,what is the Piobab:lity thot helshe septo the Jb7 Ave the events "TT professio. al..m) ~Slepton the b r depen dest explain usm oba bilities

Explanation / Answer

1) here by dividing each cell with total value

2)

P(IT professional )=0.4286

3) P(slept on job) =0.5871

4)

P(IT prfoessional|slept on Job) =0.2214/0.5871 =0.3771

5) P(slept on Job|Govt professional) =0.3657/0.5714 =0.64

6) P(IT professional) =0.4286 while P(IT prfoessional|slept on Job) =0.3771; as these two are nt equal therefore

events IT professional and slept on Job are not independent,

IT Govt total Yes 0.2214 0.3657 0.5871 No 0.2071 0.2057 0.4129 total 0.4286 0.5714 1.0000

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