Discrete random variable with probability function

Reference no: EM131015149

1. Consider the function f ( x ) = cx3 for x = 1, 2, 3, 4; where c is a constant. Let X be a discrete random variable with probability function f (x).

(a) Determine the value of c that makes f ( x ) a probability function.

(b) Find P( X 2).

(d) Find E[X].

(e) Find Var[X].

2. Defects on computer disks are known to occur at a rate of two defects per (mm) 2 and they occur according to a Poisson model.

(a) Find the probability that at least one defect will be found if 1 (mm) 2 is examined.

(b) Find the probability of less than two defects if 1 (mm)2 is examined.

Reference no: EM131015149

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