1. The weight of a box of pasta in a production process is uniformly distributed between 280 and 320 grams. a. Find the expected value and the variance of the weight of the pasta boxes. b. What is the probability that a randomly chosen box of pasta will weigh less than 290 grams? c. What is the probability that a randomly chosen box of pasta will weigh more than 305 grams? 2. The minimum volume of a regular can of soda is 10 ounces. It is also known that 60% of the volume of similar cans is less than 13 ounces. If the volume of the cans is uniformly distributed, what will be the parameters of the distribution?
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