(Solution) - A continuous random variable has a probability density function f x -(2025 Original AI-Free Solution)

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A continuous random variable has a probability density function
f(x) = Ax
for 5 ? x ? 6.
(a) What is the value of A?
(b) What is the cumulative distribution function of the random variable?
(c) What is the expectation of the random variable?
(d) What is the standard deviation of the random variable?