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Remember: If X is a continuous random variable with probability density function f (I), b then P(a S X Remember: If X is a continuous
Remember: If X is a continuous random variable with probability density function f (x), then P (a X b) = f (x) d:r. Note: Unsimplified answers that demonstrate the computation are preferred, e.g. (I) as opposed to 21. Let X be a continuous random variable with probability density function f (x) = for O x V"'TZ (use u-substitution to integrate!) (a) Show that X has a reasonable density function by showing that the total area under the curve y = f (x) over the given x-values is 1. (b) Find S X 2).
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