Chapter 7, Problem 7.5P

Solve this problem and show all of the work

The joint probability density function of two discrete random variables X and Y is given by p(x, y)=c(2x+y), where x and y can assume all integers such that 0≤ x≤2, 0≤ y ≤ 3, and p (x, y)= 0 otherwise. a) Find the value of the constant c. (c) Find P(X≥1, Y≤2). (b) Find P(X=2, Y= 1).

A wattmeter is connected with the positive lead on phase "a" of a three-phase system. The negative lead is connected to phase "b". A separate wattmeter has the positive lead connected to phase "c". The negative lead of this wattmeter is connected also to phase "b". If the input voltage is 208 volts line-to- line, the phase sequence is "abc" and the load is 1200 ohm resistors connected in "Y", what is the expected reading of each of the wattmeters? (Hint: draw a phasor diagram)