A toy store purchases small rubber balls that come in different colors in bulk from a wholesaler. The manager randomly filled th
e vending machine in the store with some of these balls. The machine has 30 yellow balls, 45 blue balls, and 75 pink balls. Suppose the store purchases a shipment of 2,000 rubber balls. How many balls of each color should be expected in the shipment?
The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:
P(yellow) =30/150 = 20%
P(blue) = 45/150= 30%
P(pink) =75/150 = 50%
If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.