QUESTION 3 Suppose the number of babies born during an 8-hour shift at a particular hospital's maternity wing follows a Poisson distribution with a mean of 5 births every 8 hours. (a) Let X denote the number of babies born in an 8-hour shift at that hospital, i.e. X - Poi(). State the appropriate value for p. U = (exact value) (b) Use the appropriate probability table(s) and determine the probability that: (i) Exactly 6 babies are born in an 8-hour shift at that hospital. Answer = (to 4 decimal places (ii) At least 4 babies are born in an 8-hour shift at that hospital. Answer = (to 4 decimal places) (c) Let Y denote the number of babies born in an 4 hour shift at that hospital, ie. Y - Poi() State the appropriate value for (exact value)