28, 29, 31, 32 questions

28. (1 point) A sign on the pumps at a gas station encourages customers to . . have their oil checked, and claims that one out of 7 cars needs to have oil added. If this is true, what is the probability of each of the following: (incorrect) A. One out of the next four cars needs oil. Probability = 31. (1 point) In each part, assume the random variable X has B. Two out of the next eight cars needs oil. a binomial distribution with the given parameters. Compute the Probability = probability of the event. C. 10 out of the next 40 cars needs oil. (a) n = 3,p =0.9 Probability = Pr(X =0) = Answer(s) submitted: (b) n = 5, p=0.5 Pr(X = 5) = (c) n =6, p=0.7 Pr(X = 2) = (d) n = 5, p= 0.3 (incorrect) Pr(X = 0) = 29. (1 point) Answer(s) submitted: A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for . all of the answers, find the probability of passing if the mini- mum passing grade is 50 %. P(pass) =. (incorrect) Answer(s) submitted: 32. (1 point) The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.2 per week. Find the prob- (incorrect) ability of the following events. 30. (1 point) If x is a binomial random variable, compute the A. No accidents occur in one week. mean, the standard deviation, and the variance for each of the Probability = following cases: B. 4 or more accidents occur in a week. (a) n = 3, p = 0.4 Probability = C. One accident occurs today. Probability =. Answer(s) submitted: (b) n = 3,p= 0.7 O-= 0 = (incorrect) (c) n = 3, p = 0.8 33. (1 point) Complaints about an Internet brokerage firm occur at a rate