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3. Severe snowstorm is defined as a storm with snowfall exceeding 10 inches. Let X be the amount of snowfall in a severe snow storm. The cumulative density function (CDF) is defined as: Ex (z) = 1-(Y)4, for 22 10, =0,for z < 10 (a) Determine the median of X. (b) What is the expected amount of snowfall in a severe snow storm? (c) What is the probability that a severe snow storm will result in a snowfall total between 14 and 18 inches?

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