Probability density function


Let X be a continuous random variable depend upon the interval [0, 4] with probability density function

p(x) = c(1 4x)

(a) Find the value of c such that p(x) is a valid probability density function.

(b) Find the probability that X is greater than 3.

(c) If X is greater than 1, nd the probability X is greater than 2.

(d) What is the probability that X is less than some number a, assuming 0 < a < 4?

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Basic Statistics: Probability density function
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