Question

a company vehicle is available in black or blue. a random sample includes seven black vehicles and five blue vehicles. if there are 300 company vehicles, then how many are blue?

Explanation:

Step1: Calculate the proportion of blue vehicles in the sample

The total number of vehicles in the sample is \(7 + 5=12\). The proportion of blue vehicles in the sample is \(\frac{5}{12}\).

Step2: Estimate the number of blue vehicles in the population

If there are 300 company - vehicles in total, and the proportion of blue vehicles is \(\frac{5}{12}\), then the number of blue vehicles is \(300\times\frac{5}{12}\).
\[300\times\frac{5}{12}=\frac{300\times5}{12}=\frac{1500}{12} = 125\]

Answer:

125