Number 20: find the variance of X, Var|X| = _________ in terms of P by FIVE ROW METHOD

11) Use the Independence of events A and B to find P[B] = 11) A) 5/9 B) 4/5 C) 3/4 D) 6/11 12) Use Additional Law to find P[A v B] = _ 12) A) 0.87 B) 0.76 C) 0.65 D) 0.91 13) Which of the following relationship between events A and B is FALSE? Sample mean X Will 13) A) P[An B] =P[A] P[B] B) P[A I B] = P[A] (D)0 152 C) P[A U B] =P[A] + P[B] D) P[BC] = 1 - P[B] ws a Normal Distribution wil nd standard deviation of 1251 nd the indicated probability. 14) Binomial Distribution: An airline estimates that p =90% of people booked on their flights 14) actually show up. If the airline books n = 80 people on a flight for which the maximum number is 76, what is the probability that the number of people, X , who show up will exceed the capacity of the plane, P[ X > 76] ? A) 5.5% B) 3.5% Value C) 6.5% D) 4.5% 15) Geometric Distribution: During a promotional contest, Coca Cola company places winning 15) caps on one of every eight bottles (i.e., p = 1/8) If Dr. Dai purchases one bottle a day, find the probability that he gets his first winning cap within five days, P[ X s 5] = A) 0.079 B) 0.697 C) 0.487 D) 0.396 se the Poisson Distribution to find the indicated probability. 16) The Columbia Power Company experiences power failures with a mean of u = 0.2 per day. 16) Find the probability that there are exactly two power failures in a particular day. A) 0.019 B) 0.014 C) 0.016 D) 0.018 ind the standard deviation, o, for a Binomial distribution. 17) If n = 100 and p = 0. 2, o =SD[X] = 17) A) 16 B) 7 C) 50 D) 4 Problems 18 through 20, given a pdf of a discrete random variable X below. 18) Give a pdf of X, P[ X ] as below. [(X P[X] ) = - p and [(X2 P[X] ) = 43p 18) X = - 3 0 2 P[X] = 3p 13p 4p Find P[ X > 1] =_ A) 65% B) 36% C) 52% D) 20% 19) Find the Expected Value of X, E[X] = by FIVE-ROW Method A) -1/20 19) B) -9/10 and a 90 C) 8/10 D) -17/20 20) Find the Variance