2. (3 points) An experimental program at a manufacturing plant reduced the percentage of nickel- cadmium cells with internal shorts to 2%. Testing begins on a production run at the plant, and let Y = the test number where the first short is discovered, and Y, = the test number where the second short is discovered. Determine the following. (a) The probability that the first short is on either the first or the second trial. (b) The probability that the second short occurs on the 30th trial. (c) The expected number of trials for the trial of the 2nd short