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Let's solve your problem step by step. ### Given: The random variable \( X \) follows a Beta distribution with parameters \( a = 3 \), \( b = 2 \). The probability density function (PDF) is given as: \[ f(x) = 12x(1-x), \quad 0 \leq x \leq 1 \] ### (i) CDF of X The cumulative distribution function (CDF) is found by integrating the PDF from 0 to \( x \): ___ __________ ____ _______ ______ _______ ___ __________ ___ __________ ___.
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