Question

based on the information presented in the graph, approximately how many customers pick a red shade out of the next 20 customers that purchase paint for their bedroom? a. 1 b. 2 c. 5 d. 10

Explanation:

Step1: Calculate the proportion of red - shade voters

The total number of surveyed customers is \(10 + 40+60 + 30+20=160\). The number of customers who prefer red shade is 10. The proportion \(p\) of customers who prefer red shade is \(p=\frac{10}{160}=\frac{1}{16}\).

Step2: Predict the number for 20 customers

We want to find out how many out of 20 customers will prefer red shade. Let \(x\) be the number of customers who prefer red shade out of 20. Using the proportion, we have \(x = 20\times p\). Substitute \(p=\frac{1}{16}\) into the equation: \(x = 20\times\frac{1}{16}=\frac{20}{16}=1.25\approx1\).

Answer:

A. 1