1. A random variable Y has the following pdf: f(y) = { ½ 0, 1/c, 59 ≤ y ≤ 61; otherwise. Answer the following questions about this random variable. (a) What is the value of c? (b) What is the cdf of Y? (c) What is the maximum possible value that Y can take? (d) What is the expected value of Y? (e) What is the variance of Y? (f) What is the probability that Y is equal to 60?

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