This Questlon: 1 pt 10 of 15 (1 complete) ? | ? This Test: 15 pts possible Quest

Question

This Questlon: 1 pt 10 of 15 (1 complete) ? | ? This Test: 15 pts possible Question Help * Suppose there is a 23.9% probability that a random y selected person aged 20 years or older s a smoker In addition, there is a 162% probability that a randomly selected person aged 20 years or older is female, given that he or she smokes. What is the probability that a randomly selected person aged 20 years or older is female and smokes? Would it be unusual to randomly select a person aged 20 years or older who is female and smokes? The probability that a randomly selected person aged 20 years or older is female and smokes is (Round to three decimal places as needed.). Would it be unusual? O Yes O No

Explanation / Answer

P(Smoker) = 0.239 , P( female | Smoker) = 0.162

(Using conditional probability formula, P(A |B) = P( A AND B) / P(B) )

P(female | Smoker) = P( female AND Smoker) / P(Smoker)

P( female AND Smoker) = P(female | Smoker) * P(Smoker)

= 0.162 * 0.239

= 0.039

Probability is less than 0.05 , So Yes it is unusual.

_________________________________________________________

In general,

n! = n * (n-1) * (n-2) * ... * 3 * 2 * 1

So

4! = 4 * 3 * 2 * 1

= 24

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