2. Raj and Howard both solve difficult computer hardware problems that come to the LTS service. Raj makes 60% of the repairs and Howard 40%. However, Raj's repairs are incomplete 5% of the times and Howard's are incomplete 8% of the time. (a) Determine the probability that a repair is incomplete. (Hint: Rule of Total Probability.) (b) If a repair is found to be incomplete, what is the probability that the repair was made by Raj? (Hint: Bayes Rule.)