Question: hs 6. A random variable, Y, has density function given by fly) = cy'(1 - y)5, if 0 6. Arandom variable, Y, has density function

6. Arandom variable, Y, has density function given by cy3(1 y)5, if

hs 6. A random variable, Y, has density function given by fly) = cy'(1 - y)5, if 0

6. Arandom variable, Y, has density function given by cy3(1 y)5, if 0 1 0, otherwise State the type of distribution that Y has and the value(s) of the (i) (iii) parameter(s) of the distribution. Determine the value of the constant, c. Calculate the mean and variance of Y. [5 marks]

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