Question

Suppose there is a 27.5 % probability that a randomly selected person aged 25 years or older is a jogger.jogger. In​ addition, there is a 13.1% probability that a randomly selected person aged 25 years or older is male commamale, given that he or she jogs.jogs. What is the probability that a randomly selected person aged 25 years or older is malemale and jogs question markjogs? Would it be unusual to randomly select a person aged 25 years or older who is malemale and jogs question mark?

Answer 1

Answer: Hello there!

If you randomly chose a person aged 25 years or older, there is a 27.5% (or 0.275 in decimal form) probability that this person is a jogger, and if this person is a jogger, there is a 13.1% ( or 0.131 in decimal form) probability that this person is a male.

Notice that the 13.1% probability of being a male, applies after the 27.5% of being a jogger.

the question is:

What is the probability that a randomly selected person aged 25 years or older is male and jogs?

This is the joint probability of the two events, is the product of theyr probabilities:

p = 0.275*0.131 = 0.047

that is equivalent to 4.7%, which means that is unusual to randomly select a person aged 25 years or older who is male and jogs question mark