When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval, the appropriate probability distribution is a _____ . (A) binomial distribution. (B) hyper geometric probability distribution. (C) normal distribution. (D) Poisson distribution.

Answer:POISSON DISTRIBUTIONStep-by-step explanation:When dealing with the number of occurrences of an event over a specified interval of time or space, the poisson distribution is often useful.Poisson distribution is applicable if:The probability of the occurrence of the event is the same for any two intervals of equal length.The occurrence or nonoccurrence of the event in any interval is independent of the occurrence or nonoccurrence in any other interval.The probability that two or more events will occur in an interval approaches zero as the interval becomes smaller.Therefore, the appropriate probability distribution is POISSON PROBABILITY DISTRIBUTION.