In a survey of 410 salespersons and 350 construction workers, it is found that 164 of the salespersons and 196 of the construction workers were overweigh
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Sales person = 410
Overweight sales person 164 =
Not Overweight sales person = 410 - 164
= 246
Construction worker 350
Overweight construction worker 196
Not overweight construction worker = 350-196154
Total Person = 410 + 350 = 760
Total Overweight = 164 + 196 = 360
Total Not overweight = 246 + 154 = 400
Probability Person is over weight = Total overweight / total person = 360/760
= 9/19
Probability person is salesperson, given that the person is over weight. = Overweight sales person/ total overweight = 164/360
= 41/90
Probability person is over weight, given that the person is a salesperson
= Overweight Sales person / total Sales
person
= 164 / 410
= 82/205
Probability person is a construction worker, given that the person is not over weight. = not overweight construction worker / total not overweight
= 196/400
= 49/100
Probability person is not over weight, given that the person is a construction worker = not overweight construction worker / Construction worker
= 196/350
= 14/25