2. (a)A manufacturing company produces electronic components and the probability of a component being defective is 0.05. If a random sample of 150 components is taken, calculate the mean and variance of the binomial distribution for the number of defective components in the sample. (b)Good Fried Chicken's manager knows that cars arrive at the drive-through at the average rate of two cars per minute between the hours of 12:00 noon to 1:00 pm. Determine the probability of the following situations. (Use Poisson distribution) i) Exactly six cars arrive between 12 noon and 12:05 pm ii) Fewer than six cars arrive between 12 noon and 12:05 pm iii) At least six cars arrive between 12 noon and 12:05 pm