(Solution) - Consider again the random variable described in Problems 2 2 2 and -(2025 Original AI-Free Solution)

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Consider again the random variable described in Problems 2.2.2 and 2.3.10 with a probability density function of
F(x) = 1/x In (1.5)
for 4 < x < 6 and f(x) = 0 elsewhere.
(a) What is the variance of this random variable.
(b) What is the standard deviation of this random variable.
(c) Find the upper and lower quartiles of this random variable.
(d) What is the interquartile range?