Step 1 :We are given two probabilities:
Step 2 :1. The probability that a randomly selected person aged 25 years or older is a jogger, denoted as \(P(J) = 11.9\% = 0.119\).
Step 3 :2. The probability that a randomly selected person aged 25 years or older is male, given that he or she jogs, denoted as \(P(M|J) = 20.6\% = 0.206\).
Step 4 :We are asked to find the probability that a randomly selected person aged 25 years or older is male and jogs, denoted as \(P(M \cap J)\).
Step 5 :From the definition of conditional probability, we know that \(P(M \cap J) = P(M|J) \times P(J)\).
Step 6 :So, we can calculate \(P(M \cap J)\) by multiplying \(P(M|J)\) and \(P(J)\).
Step 7 :\(P(M \cap J) = P(M|J) \times P(J) = 0.206 \times 0.119 = 0.024514\)
Step 8 :Final Answer: The probability that a randomly selected person aged 25 years or older is male and jogs is \(\boxed{0.025}\).