Question

QUESTION 1

System Components include entities, attributes and resources. Cite an example of these components for the gives systems

Type of System	Entities	Attributes	Resources
Bus System
Communications
Barbershop System

                                                                                   (UN,9)

(b) A random variable X has a probability mass function defined by

               

                    
PX=x=kx-1,                   if x=2, 3k8-x,               if x=4, 5, 6            0                         otherwise     

       i) Write out the probability mass function of X.                      

       ii) Find the expectation of (2X).                                              

       iii) Find the variance of X.                                               

       iv) Find P(2≤X≤5)                                                           

       v) Find P(X≥5)                                                  

Answer 1