Respuesta :
Answer:
Probability that the respondent has a pet given that the respondent has had a pet is [tex]\frac{37}{81}[/tex] or 0.46.
Step-by-step explanation:
We are given the following results below;
37% have a pet now and have had a pet.
63% do not have a pet now.
81% have had a pet.
19% do not have a pet now and have never had a pet.
Let event B = respondent has a pet now
Now, Probability that the respondent has had a pet = P(A) = 0.81
Probability that the respondent has a pet now and has had a pet = [tex]P(A \bigcap B)[/tex] = 0.37
So, Probability that the respondent has a pet given that the respondent has had a pet is given by = P(B/A)
This conditional probability is solved as ;
P(B/A) = [tex]\frac{P(A \bigcap B)}{P(A)}[/tex]
= [tex]\frac{0.37}{0.81}[/tex] = 0.46.
