Question

An article estimated that 5.4% of a certain population has asthma, and that an asthmatic has probability 0.027 of suffering an asthma attack on a given day. A person is chosen at random from this population.

What is the probability that this person has an asthma attack on that day?

Answer 1

The probability that a selected person has an asthma attack on that day is 0.001458

Step-by-step explanation:

Let A = A person has asthma

B =A person suffers from an asthma attack in a day

P(A) = Probability that a person has asthma= 5.4% = 0.054

P(B/A)= Probability that a person suffers from asthma = 0.027

Let P(A n B) = The probability that a selected person has an asthma attack on that day

P(A n B) = P(A) * P(B/A)

P(A n B) = 0.054 * 0.027

P(A n B) = 0.001458