A family is selected at random from the city. Find the probability that the size of the family is between 2 and 5 inclusive. Round approximations to three decimal places.

And using the table from the info we got:

And replacing we got:

Step-by-step explanation:

For this case we assume that following  table shows the distribution of family size in a certain U.S. city

Family Size Probability

 2                  0.464

 3                  0.212

 4                  0.197

 5                  0.078

 6                  0.030

 7+                0.019

We assume that X represent the random variable "family size"

And for this case we want to find this probability:

And using the table from the info we got:

And replacing we got:

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42