In a certain community, 20% of the families own a dog, and 25% of the families that own a dog also own a cat. It is also known that 29% of all the families own a cat. What is the probability that a randomly selected family owns a dog?

The probability that a randomly selected family owns a dog, given that it doesn't own a cat, is approximately 21.12%.

Step-by-step explanation:

Let  P(D)  be the event that a randomly selected family owns a dog.

Let  P(C)  be the event that a randomly selected family owns a cat.

Then:  probability is

P (D) = 0.20

P(C) = 0.29

P(C|D) = 0.25

So, as we know

      P(D|¬ C) = P ( D ∩ ¬ C )/ P ( ¬ C )

then,

   P(D|¬ C)  

Then, the probability that a random selected family owns a dog is 0.2112

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

answer: 40.95

step-by-step explanation: