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labrandonanderson00
08.10.2019 •
Mathematics
Suppose there is a 13.4 % probability that a randomly selected person aged 30 years or older is a jogger. in addition, there is a 15.4 % probability that a randomly selected person aged 30 years or older is female comma given that he or she jogs. what is the probability that a randomly selected person aged 30 years or older is female and jogs? would it be unusual to randomly select a person aged 30 years or older who is female and jogs?
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Ответ:
Hello mate!
if you randomly chose a 30 years or older person, there is a 13,4% (or 0.134) that he or she jogs, and if this person jogs, there is a 15,4% (or 0.154) that the person is a female.
where you can see that both probabilities are very small, and are dependent, this means that the probability 15.4% of being female only applies after the 13,4% of being a jogger.
If we want to know the probability where a randomly chosen person of 30 or older is a female and jogger, then we need to see the product of both probabilities:
this is 0.134*0.154 = 0.02
wich is equivalent to 2%, so yes, it would be very unusual to randomly select a person aged 30 years or older who is female and jogs.
Ответ: