Suppose there is a 29.3% probability that a randomly selected person aged 20 yea

Question

Suppose there is a 29.3% probability that a randomly selected person aged 20 years or older is a smoker, In addition, there is a 28, 7% probability that a randomly selected person aged 20 years or older is male, given that he or she smokes. What is the probability that a randomly selected person aged 20 years or older is male and smokes? Would it be unusual to randomly select a person aged 20 years or older who is male and smokes? The probability that a randomly selected person aged 20 years or older s male and smokes is (Round to three decimal places as needed.) Would it be un usual? No Yes

Explanation / Answer

P(smoker) = 29.3/100 = 0.293

P(male | smoker) = 28.7/100 = 0.287

P(male and smoker) = P(male | smoker) * P(smoker) = 0.287 * 0.293 = 0.084

Since this probability is greater than 0.05, it is not unusual.

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