An appliance store sells three different brands of refrigerators. Of the refrigerator sales, 40% are brand 1, 25% are brand 2 and 35% are brand 3. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 20% of brand 1's require warranty repair work, whereas the corresponding percentages for brands 2 and 3 are 25% and 5%, respectively. What is the probability that a randomly selected purchaser has a refrigerator that will need repair while under warranty?
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