Question 5 (a) A private psychology clinic has two resident clinical psychologists, Susan and Steven. For booking each day, Susan has six appomtment slots and Steven has three The average number of demands for consultation with Susan IS three on any weekday, and five on any weekend, while that with Steven is two on any day of the week _ Assuming these demands follow Poisson distributions and are independent (i) (ii) (iii) Compute the probability there is at least one demand for consultation with Susan on a particular Tuesday. Compute the probability that there are demands for consultatlon with Steven not met on both Thursday and Friday of a particular week. Compute the probability that all available slots for consultation with either Susan or Steven (but not both) are filled on a certain Saturday. S