Question: A continuous random variable A has probability density function given by the following function, where a is a constant. OExEa, f(x) = 2 a otherwise.

A continuous random variable A has probability density function given by the following function, where a is a constant. OExEa, f(x) = 2 a otherwise. The expected value of X is 4. (a) Show that a = 6. [3] Five independent observations of X are obtained, and the largest of them is denoted by M. (b) Find the cumulative distribution function of M. [8]

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3. How much information do we need to collect?