Question

A survey was conducted in which 125 families were asked how many cats lived in their households. The results are shown below. ​a) What is the probability that a randomly selected family has one​ cat? ​b) What is the probability that a randomly selected family has more than one​ cat? ​c) What is the probability that a randomly selected family has​ cats? ​d) Is this an example of​ classical, empirical, or subjective​ probability? *Number of Cats-Number of Households* 0-71 1-33 2-16 3-4 4-1 Total-125 ​a) The probability that a randomly selected household has one cat is nothing. ​(Simplify your​ answer.) ​b) The probability that a randomly selected family has more than one cat is nothing. ​(Simplify your​ answer.) ​c) The probability that a randomly selected family has cats is nothing. ​(Simplify your​ answer.) ​d) Is this an example of​ classical, empirical, or subjective​ probability? Empirical probability Classical probability Subjective probability Thank you in advance!!

Answer 1

Number of cats	Number of Households
0	71
1	33
2	16
3	4
4	1

a) probability that a randomly selected family has one​ cat:

possible outcomes(families that have one cat)= 33

So, probability that a randomly selected family has one​ cat = possible outcomes/ total outcomes

= 33/125

b) probability that a randomly selected family has more than one​ cat:

possible outcomes ( families that have more than one​ cat) = 16+4+1 = 21

Therefore,

probability that a randomly selected family has more than one​ cat = 21/125

c) probability that a randomly selected family has​ cats:

possible outcomes(families that have at least one cat) = 33+16+4+1= 54

Therefore,

probability that a randomly selected family has​ cats = 54/125

d) This is an example of empirical probability. It is the relative frequency of the occurrence of an event and is determined by actual observation of an experiment.

It is not classic or subjective probability since we can use the classical probability formula only when all events are equally likely and subjective probability is based on your beliefs.