n a survey of 410 salesperson and 350 construction worker it is found that 164 of the salesperson and 196 of the construction workers were overweight. If a person is selected random from the group , what is the probability that. 1. the person is overweight?2.the person is salesperson , given the person is overweight?3.this person is overweight, given that person is salesperson?4.this person is a construction worker , given that the person is not overweight?5.this person is not overweight, given that the person is a construction worker.
n a survey of 410 salesperson and 350 construction worker it is found that 164 of the salesperson and 196 of the construction workers were overweight. If a person is selected random from the group , what is the probability that. 1. the person is overweight?2.the person is salesperson , given the person is overweight?3.this person is overweight, given that person is salesperson?4.this person is a construction worker , given that the person is not overweight?5.this person is not overweight, given that the person is a construction worker.
Answers
Given : In a survey, of 410 salesperson & 350 construction workers, it's found that 164 of salesperson & 196 of construction workers are overweight. a person is selected at random from group
To find : 1. This person is over weight 2. This person is salesperson, given that the person is over weight. 3. This person is over weight, given that the person is a salesperson. 4. This person is a construction worker, given that the person is not over weight. 5. This person is not over weight, given that the person is a construction worker.
Solution:
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 -196 = 154
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
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