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Let X be a continuous random variable with probability density function f(x) = cx with support SX = [0, 10] where c is a constant

Let X be a continuous random variable with probability density function f(x) = cx with support SX = [0, 10] where c is a constant

What value of c makes f(x) a valid probability density function?

What is the probability that X is less than 3 given that it is less than 5? That is P(X<3 | X<5)?

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