Please answer the first question while ignoring the answers provided. Thank you.

Starting at time 0, a red bulb flashes according to a Poisson process with rate A = 2. Similarly, starting at time 0; a blue bulb flashes according to a Poisson process with rate A = 1, but only until a nonnegative random time X, at which point the blue bulb "dies." We assume that the two Poisson processes and the random variable X are [mutually] independent. 1. Suppose that X is deterministically equal to 1. What is the expected total number of flashes (of either color] during the interval [0, 2]? EXDECtEd tetal number Of asrles; 2. In the time interval [0, X], there are exactly 5 flashes. What is the probability that exactly 2 of them were red? Probability that exactly 2 of the 5 flashes were red: 0.0512