Use the survey results to find the probability that a respondent has a pet, given that the respondent has had a pet.
36% have a pet now and have had a pet.
64% do not have a pet now.
84% have had a pet.
16% do not have a pet now and have never had a pet.
The probability that the respondent has a pet given that the respondent has had a pet is what
(Type an integer or decimal rounded to the nearest hundredth as needed.)
The probability that a respondent has a pet given that they have had a pet is calculated as follows:
P(Have a pet | Have had a pet) = P(Have a pet and Have had a pet) / P(Have had a pet)
P(Have a pet | Have had a pet) = 0.36 / 0.84
P(Have a pet | Have had a pet) = 0.4286 or 42.86%
Therefore, the probability that a respondent has a pet given that they have had a pet is 42.86%.
this is wrong try again
I apologize for the mistake. Let's calculate the correct probability.
Given:
- P(Have a pet and Have had a pet) = 36%
- P(Have had a pet) = 84%
The probability that a respondent has a pet given that the respondent has had a pet can be calculated using the formula for conditional probability:
P(Have a pet | Have had a pet) = P(Have a pet and Have had a pet) / P(Have had a pet)
P(Have a pet | Have had a pet) = 0.36 / 0.84
P(Have a pet | Have had a pet) = 0.4286
Therefore, the probability that a respondent has a pet given that the respondent has had a pet is 0.4286 or 42.86%.