statistics
Question:
The table below shows the drinking habits of adult men and women.
Men Women Total
Non-Drinker 387 421 808
Occasional Drinker 45 46 91
Regular Drinker 90 69 159
Heavy Drinker 37 34 71
Total 559 570 1129
If one of the 1,129 people is randomly chosen, what is the probability that the person is a man or a heavy drinker? Round your answer to 3 decimal places.
My answer:
P(man or a heavy drinker) = P(man) + P(heavy drinker)
= (559/1129) + (37/1129)
= 596/1129
= .528
Reply
Answers
The probability of selecting a man or a heavy drinker from a population of 1129 individuals is equal to the sum of the probability of selecting either a man or a heavy drinker. This can be calculated by finding the individual probabilities of being selected and then adding them together. The probability of selecting a man is 559/1129, and the probability of selecting a heavy drinker is 37/1129. When these are added, the total will be 596/1129, or .528.