Consider the following to answer the question(s) below:
Harrison Water Sports has three retail outlets: Vancouver, Victoria, and Nanaimo. The Vancouver store does 50 percent of the total sales in a year, while the Victoria store does 35 percent of the total sales, and Nanaimo the remainder. Further analysis indicates that of the sales in Vancouver, 20 percent are in boat accessories. The percentage of boat accessories at the Victoria store is 30 and the percentage at the Nanaimo store is 25.
-If a sale is recorded as a boat accessory, the probability that the sale was made at the Victoria store is
A) 0.433.
B) 0.35.
C) 0.30.
D) 0.2425.
E) 0.105.

Question

Quizplus · Accepted Answer

To find the probability that a sale of boat accessories was made at the Victoria store, we use the formula for conditional probability. First, calculate the overall percentage of boat accessory sales from each store:- Vancouver: 50% of total sales * 20% boat accessories = 10% of total boat accessory sales.- Victoria: 35% of total sales * 30% boat accessories = 10.5% of total boat accessory sales.- Nanaimo: 15% of total sales (100% - 50% - 35%) * 25% boat accessories = 3.75% of total boat accessory sales.The total percentage of boat accessory sales is 10% + 10.5% + 3.75% = 24.25%.The probability that a boat accessory sale was made at the Victoria store is the percentage of boat accessory sales from Victoria divided by the total percentage of boat accessory sales: 10.5% / 24.25% = 0.433 (approximately).Therefore, the correct answer is A) 0.433.

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