Question

Please help!

A survey found the distribution of some
families by size, and is as follows.
Family Size 2 3 4 5 6 7 8
Frequency 87 50 61 31 16 3 2
Find the probability of family with
3 people.
P(3) = [?]

Answer 1

To find the probability of a family having 3 people, we need to know the total number of families surveyed. We can find this by adding up the frequencies:

Total families = 87 + 50 + 61 + 31 + 16 + 3 + 2 = 250

The probability of a family having 3 people is the frequency of families with 3 people divided by the total number of families:

P(3) = 50/250 = 1/5 = 0.2

Therefore, the probability of a family having 3 people is 0.2 or 20%.