karen runs a restaurant that offers a childrens menu. this past week, 12 children ordered corn dogs and 24…

karen runs a restaurant that offers a childrens menu. this past week, 12 children ordered corn dogs and 24 children ordered something else. considering this data, how many of the next 30 children to eat at karens restaurant should you expect to order corn dogs? children

karen runs a restaurant that offers a childrens menu. this past week, 12 children ordered corn dogs and 24 children ordered something else. considering this data, how many of the next 30 children to eat at karens restaurant should you expect to order corn dogs? children

Answer

Explanation:

Step1: Calculate total children last week

The total number of children last week is the sum of those who ordered corn - dogs and those who ordered something else. So, $12 + 24=36$ children.

Step2: Calculate the proportion of children who ordered corn - dogs

The proportion $p$ of children who ordered corn - dogs is $\frac{12}{36}=\frac{1}{3}$.

Step3: Calculate the expected number for the next 30 children

We multiply the proportion by the number of the next children. So the expected number of children who will order corn - dogs out of 30 is $\frac{1}{3}\times30 = 10$.

Answer:

10