Question

Derive Eq.2-69 by applying Eq.2-68 to combined events (Hint: you will need to use the distributive law. )

44. 2.44* Derive Eq. (2-69) by applying Eq. (2-68) to combined events. ( Hint: You will need to use the distributive law in Table 2.1..)

Answer 1

By definition the expected value (or mean) of a discrete random variable X, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring.

Here the possible values of intensity are
021,L-1
with corresponding probabilities respectively.  

Thus we mean intensity

L-1 k=0 L-1 Tnk Σ (17 ) Using 2-67 L-1