There are two strains of viruses. Virus (1 and virus Y. Virus Q is more deadly than virus Y. It has been known that the best way to differentiate the two viruses is their incubation time (the amount of time between when a person is infected and when they first show symptoms). Both viruses have exponentially distributed incubation times, but the mean incubation time for virus Q is 3 days, and 6 days for virus Y. (X\"Exp(1/3) for people with virus Q, and X~Exp(1/6) for people with virus Y). Assume P(Q) = P(Y) = 1/2 since both viruses are equally prevalent. 1. What is the probability that a person with virus Q shows symptoms within the first day of infection, and the probability that someone with virus Y shows symptoms within the first day of infection. (Hint: You are looking for P(X