An electronic device produces an output of 0, 1 or 3 volts, each time it is operated, with probabilities 1/2, 1/3 and 1/6 respectively. The random variable X denotes the
result of adding the outputs for two such devices which act independently find probability

(a) Note the probability distribution of X.
(b) In 360 independent operations of the device, state on how many occasions you
would expect the output to be 1 volt.
(c) What is the expected output?