Suppose x is a random variable for which a Poisson probability distribution with ? = 6.9 provides a good characterization. Find for x.
A) 6.9 B) 2.63 C) 3.5 D) 47.61
Q. 2Assume that P(A ) = 0.7 and P(B) = 0.2. If A and B are independent, find P(A and B).
A) 0.14 B) 0.76 C) 0.90 D) 1.00
Q. 3The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 4.5 tickets per day.
Interpret the value of the mean. A) If we sampled all days, the arithmetic average number of tickets written would be 4.5 tickets per day.
B) The number of tickets that is written most often is 4.5 tickets per day.
C) Half of the days have less than 4.5 tickets written and half of the days have more than 4.5 tickets written.
D) The mean has no interpretation since 0.5 ticket can never be written.
Q. 4True or False: Two events, A and B, are independent if P(A and B) = P(A ) P(B).
A) True B) False
Q. 5True or False: If A and B are independent events, then A and B are mutually exclusive also.
A) False B) True
Q. 6The number of goals scored at State College hockey games follows a Poisson distribution with a mean of 5 goals per game. Find the probability that each of three randomly selected State College hockey games resulted in six goals being scored.
A) 0.00312641 B) 0.43866845 C) 0.00000765 D) 0.56133155
Quick Reply
