boats from all along the atlantic coast dock at a busy marina. of the first boats to dock there one day, 10…
boats from all along the atlantic coast dock at a busy marina. of the first boats to dock there one day, 10 of the boats were from south carolina, while 10 were from other states. considering this data, how many of the next 12 boats to dock should you expect to be from south carolina? boats
Answer
Explanation:
Step1: Calculate the proportion of South - Carolina boats
The total number of first - docked boats is $10 + 10=20$. The number of South - Carolina boats is 10. So the proportion of South - Carolina boats is $\frac{10}{20}=\frac{1}{2}$.
Step2: Use the proportion to find the expected number
We want to find out how many of the next 12 boats are from South Carolina. Multiply the proportion by the number of new boats. So the expected number is $\frac{1}{2}\times12 = 6$.
Answer:
6