Question: A paint store sells three types of high volume paint Sprayers used by professional painters: type I, type II, and type III. Based on records, 70% of the sprayers are of type I, and 20% are of type II. 3% of the type I Sprayers need repair during the warranty period, while the figure for type II is 4%, and the figure for type III is 5%. Label the events you will use in this problem and state their probabilities.

1. Find the probability that a randomly selected sprayer will need repair under warranty. b. Find the probability that two randomly selected Sprayers will need repair under warranty. Hint: think about independence.

c. Find the probability that a sprayer is of type III, given that it needed repair during the warranty period.

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