Question: A package delivery service divides their packages into weight classes. Suppose that packages in the 14 to 20 pound class are uniformly distributed, meaning that

A package delivery service divides their packages into weight classes. Suppose that

packages in the 14 to 20 pound class are uniformly

distributed, meaning that all weights

within that class are equally likely to occur.

3.2.1 Provide a sketch diagram to summarise the above information.

3.2.2 Find the probability that the package weighs between 15 and 16.5 pounds.

3.2.3 Find the probability that the package weighs less than 15 pounds

3.2.4 Find the probability that the package weighs at least 18 pounds

3.2.5 Calculate the variance and standard deviation of the distribution

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