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- If the probability density of X is given by f(x) =2x−3 for x > 10 elsewherecheck whether its mean and its variance exist.Find the mean of random variable of X, if X is random variable with pdf f(x) = c(1-x²), -1Suppose that the distribution of the lifespan of an item has the hazard rate function λ(t) = t3. What is the probability that: (a) the item survives to age 2? (b) a 1-year-old item will survive to age 2?SEE MORE QUESTIONS