The amount of ketchup in a 64-ounce bottle is uniformly distributed with a minimum of 57.5 ounces and a maximum of 65.5 ounces. A random bottle is selected. Find the probability that the amount of ketchup is more than 61 ounces. Find the probability that the amount of ketchup is more than 61 ounces given that it is more than 60 ounces. Find the 90th percentile for the amount of ketchup in the bottle.
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