36. Consider the continuous random variable X whose cumulative distribution function (odf) is given by F(x)=P(X ≤2)=1-e-15I(0,00) (2). (a) Find the pdf of X. (b) Find the median of X. (e) Find P(X > 2).

Suppose the random variable T is the length of life of an object (possibly the lifetime of an electrical component or of a subject given a particular treatment). The hazard function hr(t) associated with the random variable T is defined by hr(t) = lims-o- P(t ≤ T

9. The random variable X has probability density function, f(x) where k 1

Let X be a random variable normally distributed with mean μx 1. Find the mean μy of Y. 2. Find the standard deviation oy of Y. 3. Find the PDF fy of Y and evaluate fy (5). (My, oy, fy (5)) = ___________). = 6 and standard deviation ox = 4. Let Y = 4X + 5.