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?

answer: the correct one is a

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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