Question 9 2 pts The p-value represents the probability that the test statistic occurred assuming the null hypothesis is true Othe alpha is supported O the null is true the test statistic occurred assuming the null should be rejectedQuestion 9 1 pts A p-value is O The probability of rejecting the null hypothesis assuming that the null hypothesis is true. 0 The probability of rejecting the null hypothesis assuming that the null hypothesis is faise. O The probability that the observed test statistic is statistically signicant 0 The probability of observing a test statistic at least as extreme as the observed test statistic assuming that the alternative hypothesis is true. 0 None of the above ror tnis result. 7. A machine consists of two parts that fail and are repaired in- dependently. A working part fails during any given day with probability a. A part that is not working is repaired by the next day with probability b. Let X\" be the number of working parts in day to. (a) Show that Xn is a threestate Markov chain and give its onestep transition probability matrix P. (b) Show that the steady state pmf at is binomial with param eter p = b/(a + b). (c) What do you expect is the steady state pmf for a machine that consists of m parts? IE 3373: Homework #2 1. John is driving down on University Avenue. There are three traffic lights that he has to go past to get to his apartment. Assume that each traffic light is green for 20 seconds and red for 40 seconds, Find: a) The probability that he will encounter none, one, two or all lights in green? Use Binomial Distribution 2. The billing department of a major credit card company attempts to control errors (clerical, data transition, tec.) on customer's bills. Suppose that errors occur according to a Poisson distribution with 1=0.01 a) What is the probability that a customer's bill selected at random will contain one error? 3. Patients arriving at an outpatient clinic are routinely screened for high blood pressure. Assume that this condition occurs in 20% of the population. a) What is the probability that the fourth patient of the day has high blood pressure? b) What is the average number of patients that must be seen to find the first patient with high blood pressure? Use Geometric Distribution