Let x have the density fxx c2x 1 for 0 x 4 and fxx 0

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Reference no: EM13615788

Let X have the density fx(x) = c(2x + 1) for 0 ? x ? 4 and fx(x) = 0 otherwise, where c is a constant.

a) Find the value of c that makes this a valid probability density function.

b) Find p(2 ? x ? 3.5).

c) Write out Fx (x) for this random variable.

d) What is the average value of X?

e) Find Var(2X + 5).

f) Given that X is at least 2.5, what is the probability that it is less than 3.5?

Reference no: EM13615788

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