An electrical current traveling through a resistor may take one of three different paths, with probabilities p₁ = .25, p₂ = .30 and p₃ = .45, respectively. Suppose we monitor the path taken in n = 10consecutive trials.
a. Find the probability that the electrical current will travel the first path Y₁ = 2 times, the second path times, and the third path Y₃ = 4 times.
b. Find E(Y2) and V(Y2). Interpret the results.