Show that this function satisfies the requirements of a

Assignment Help Mechanical Engineering

Reference no: EM13607496

Consider the following probability distribution function for a continuous random variable:

f(x) = 3x62/35 -2<x<-3 =0 elsewhere

a) Show that this function satisfies the requirements of a probability distribution function.

b)Calculate the expected (mean) value of x.

c)Calculate the variance and the standard deviation of x.

Calculate the probability of the following cases:

a) x=<0

b) 0 < x :s 1 .

c) x = 2.

Reference no: EM13607496

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