Need help with this, please show work Suppose there is a 11.6% probability that

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Need help with this, please show work

Suppose there is a 11.6% probability that a randomly selected person aged 25 years or older is a smoker. In addition, there is a 299% probability that a randomly selected person aged 25 years or older is female, given that he or she smokes. What is the probability that a randomly selected person aged 25 years or older is female and smokes? The probability that a randomly selected person aged 25 years or older is female and smokes is-(Round to three decimal places as needed.).

Explanation / Answer

P(Female | Smokes) = 0.299

P(Smoke) = 0.116

By the formula:

P(Female |Smokes) = P(Female and Smokes) / P(Smokes)

Hence,

P(Female and Smokes) = P(Female | Smokes) * P(Smoke)

P(Female and Smokes) = 0.299*0.116

P(Female and Smokes) = 0.035

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