The lifetime of a species of housefly ranges uniformly from 18 h to 30 h. a) Construct a graph of this distribution. b) Determine the probability that a fly selected at random will live less than 24 h.

Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a.    Which distribution can we use in this case? b.    What is the probability that we observe at least 3 births in a 2-hour interval?c.    Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?

Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.

Answer A-C