For the remaining problems you must show all of your work to receive full credit

Question

For the remaining problems you must show all of your work to receive full credit Problem 1 (2 points) The National Sleep Foundation conducted a survey on the sleep habits of randomly sampled workers and a control sample of non-transportation workers. The results of the study are summarized in the table below. Transportation professionals Train Bus/taxilimo Totals drivers TruckTrain Bus/taxi/limo Control Pilots drivers operators Average6 hours 35193529 nightly 6-8hours| 193-t-132117-1-119 21 131 sleep8 hours 64 51 32 58 692 256 1,087 - Totals 292 202 203 (a) What is the probability that a randomly chosen worker from this study sleeps 6 hours per night on average and is a truck driver? 13g (b) What is the probability that a randomly chosen worker from this study sleeps

Explanation / Answer

a. Here first we will find P(<6 hours)=139/1087

Then we will find P(truck driver)=203/1087

Hence required probability is (139/1087)*(203/1087)=0.1279*0.1868=0.0239

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