The manager of a local soft drink company believes that when a new beverage dispensing machine is set to dispense 7 ounces, it in fact dispenses an amount X at random anywhere between 6.5 and 7.5 ounces. Suppose that X has a uniform distribution. (a) Find P (X > 7.1) (b) If you pick five bottles at random, what is the probability that exactly three bottles will contain more than 7.1 ounces?

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