Question: Let X be a random variable that describes the weight (in pounds) of a potato. Assume that X~U(0.5,1.5); that is, X is uniformly distributed between

Let X be a random variable that describes the weight (in pounds) of a potato. Assume that X~U(0.5,1.5); that is, X is uniformly distributed between 0.5 and 1.5 (with average value 1 pound).

11. Find the probability that a potato will weigh 1 pound.

12. Find the probability that two potatoes together will weigh less than 1.5 pounds.

13. Find the probability that a sack of 100 potatoes will weigh less than 95 pounds.

14. Suppose that the weights of tomatoes are distributed as U(0,1). Find the probability that a randomly-selected tomato will weigh less than a randomly-selected potato.

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