Question

Due Sat 09/21/2019 11:59 pm 54% of all the town's residents own a dog and 67% own a cat. Of the dog owners 47% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible) a. P(Own a Dog) = b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) = License Points possible: 1 Unlimited attempts. Submit

Answer 1

Solution:

a. P( Own a Dog) $\boldsymbol{= 0.54}$

b. P( Own a Cat) $\boldsymbol{= 0.67}$

c. P( Own a Dog and a Dog) $\boldsymbol{= 0.54 \times 0.47=0.2538}$

d. P( Own a Dog given Own a Cat) $\boldsymbol{= \frac{0.2538}{0.67}=0.3788}$