i do not understand this problems on the study guide..help is needed
student : M 204 F18 TS 3 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Part II: Multiple Choice Problems (69 points) 9) n = 50; p = 0.8, find u = E [ X ] = 9) A) H = 24 B) M = 40 C) M = 42 D) u = 44 10) If X follows a Binomial Distribution with parameters of n and p = 0.4 and Var[X] = 96. Find n = _ 10) A) n = 400 B) n = 300 C) n= 200 D) n = 100 11) If X follows a Binomial with n = 10, p = 0. 6. Find the Probability of X > 4, P[ X > 4] =. 11) A) binomCdf(10, . 6, 4) B) binomPdf(10, . 6, 4) C) 1- binomCdf(10, . 6, 4) D) 1- binomPdf(10, . 6, 4) Find the standard deviation, o, for the GEOMETRIC distribution. 12) p= 0.36 12) A) o=9/25 B) o=20/9 C) o=4/3 D) =20/3 13) Given X~Geometric(p, x) = Geometric( 0.36, x). Find P[ X s 2] = 13) A) 0.9045 B) 0.5904 C) 0.4059 D) 0.9504 14) If X follows a Poisson distribution with u = 9, find the standard deviation of X, o =SD[X] = 14) A) o =81 B) o=9 C) o=3 D) O= 13 In Problems 15 through 17, a random variable X follows a Poisson Distribution with u = 12.25. 15) Find the probability that X is EXACT equal to 15. P[ X = 15] =_ 15) A) 0.826 B) 0.075 C) 0.076 D) 0.077 16) Find the probability that X is less than or equal to 15. P [X s 15 ] = 16) A) 0.077 B) 0.826 C) 0.923 D) 0.174 17) Find P[X > 15 ] = 17) A) 0.826 B) 0.923 C) 0.077 D) 0.174 Find the indicated probability. 18) Binomial Distribution: An airline estimates that p =92% of people booked on their flights actually 18) show up. If the airline books n = 75 people on a flight for which the maximum number is 73, what is the probability that the number of people, X will exceed the capacity of the plane, P[ X > 73] ? A) 0.0019 B) 0.0145 C) 0.0548 D) 0.0125 19) Geometric Distribution: During a promotional contest, Coca Cola company places winning caps 19) on one of every six bottles (i.e., p = 1/ 6) If Dr. Dai purchases one bottle a day, find the probability that he gets his first winning cap within four days, P[ X s 4] = _ A) 0.0659 B) 0.5690 C) 0.5177 D) 0.0965 Use the Poisson Distribution to find the indicated probability. 20) The Columbia Power Company experiences power failures with a mean of u = 0.2 per day. Find 20) the probability that there are exactly two power failures in a particular day. A) 0.018 B) 0.016 C) 0.014 D) 0.019 2student : M 204 F18 TS 3 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Part II: Multiple Choice Problems (69 points) 9) n = 50; p = 0.8, find u = E [ X ] = 9) A) H = 24 B) M = 40 C) M = 42 D) u = 44 10) If X follows a Binomial Distribution with parameters of n and p = 0.4 and Var[X] = 96. Find n = _ 10) A) n = 400 B) n = 300 C) n= 200 D) n = 100 11) If X follows a Binomial with n = 10, p = 0. 6. Find the Probability of X > 4, P[ X > 4] =. 11) A) binomCdf(10, . 6, 4) B) binomPdf(10, . 6, 4) C) 1- binomCdf(10, . 6, 4) D) 1- binomPdf(10, . 6, 4) Find the standard deviation, o, for the GEOMETRIC distribution. 12) p= 0.36 12) A) o=9/25 B) o=20/9 C) o=4/3 D) =20/3 13) Given X~Geometric(p, x) = Geometric( 0.36, x). Find P[ X s 2] = 13) A) 0.9045 B) 0.5904 C) 0.4059 D) 0.9504 14) If X follows a Poisson distribution with u = 9, find the standard deviation of X, o =SD[X] = 14) A) o =81 B) o=9 C) o=3 D) O= 13 In Problems 15 through 17, a random variable X follows a Poisson Distribution with u = 12.25. 15) Find the probability that X is EXACT equal to 15. P[ X = 15] =_ 15) A) 0.826 B) 0.075 C) 0.076 D) 0.077 16) Find the probability that X is less than or equal to 15. P [X s 15 ] = 16) A) 0.077 B) 0.826 C) 0.923 D) 0.174 17) Find P[X > 15 ] = 17) A) 0.826 B) 0.923 C) 0.077 D) 0.174 Find the indicated probability. 18) Binomial Distribution: An airline estimates that p =92% of people booked on their flights actually 18) show up. If the airline books n = 75 people on a flight for which the maximum number is 73, what is the probability that the number of people, X will exceed the capacity of the plane, P[ X > 73] ? A) 0.0019 B) 0.0145 C) 0.0548 D) 0.0125 19) Geometric Distribution: During a promotional contest, Coca Cola company places winning caps 19) on one of every six bottles (i.e., p = 1/ 6) If Dr. Dai purchases one bottle a day, find the probability that he gets his first winning cap within four days, P[ X s 4] = _ A) 0.0659 B) 0.5690 C) 0.5177 D) 0.0965 Use the Poisson Distribution to find the indicated probability. 20) The Columbia Power Company experiences power failures with a mean of u = 0.2 per day. Find 20) the probability that there are exactly two power failures in a particular day. A) 0.018 B) 0.016 C) 0.014 D) 0.019 2