Question: 5. Let Y be a continuous random variable measuring the height in feet of the tide at noon relative to fixed point on a pier.

5. Let Y be a continuous random variable measuring the height in feet of the tide at noon relative to fixed point on a pier. Y has the following probability density function: f(y) = 3y- 16 -keys k otherwise 5 pts (a) For what value of & is this a legitimate probability density function? 5 pts (b) Determine the probability that Y falls between -4 and 1. 6

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