random variable

Calculators permitted, but calculations 1. On his way to work, Professor Mccluskey passes through two intersections with traffic signals. Let a be a random variable that represents the number of red lights he encounters. The probability distribution of a is given below: 0 2 P(x) 0.15 0.3 0.55 (a) Is the random variable a discrete or continuous? (b) Compute /, the expected number of red lights Professor Mccluskey encounters. Show work. Do not round. (c) Compute o, the standard deviation of the number of red lights Professor Mccluskey encounters. Show work. Round final answer to two decimal places