QUESTION 49 Questions 49 - 52 concern the following idea: Let X1, X2, ..., X70 be the daily number of complaints a particular company receives each day over 70 days (Xi is the ith day's number of complaints) and let Xi ~ Poi(5). Assume that the number of complaints is independent from day to day, and does not depend on the day of the week. 1 70 Define X = Exi 70 = 1 Calculate E(X) Oa. 5 V70 Ob . 5 Oc. 5# 70 Od. 5 70Questions 49 - 52 concern the following idea: Let X1, X2, X70 be the daily number of complaints a particular company receives each day over 70 days (Xi is the ith day's number of complaints) and let Xi ~ Poi(5). Assume that the number of complaints is independent from day to day, and does not depend on the day of the week. _ 17 DefineX= 7Oizlxi How would we calculate Va \"7) ? Questions 49 - 52 concern the following idea: Let X1, X2, ..., X70 be the daily number of complaints a particular company receives each day over 70 days (Xi is the ith day's number ofcomplaints) and let Xi ~ Poi(5). Assume that the number of complaints is independent from day to day, and does not depend on the day of the week. D f 1 27 eme = _ X 70i=1Xl What is the (approximate) distribution of 7? A a. 2 X A '~ , 1' b~ Normal Oat A ~. d- Poisson Questions 49 - 52 concern the following idea: Let X1, X2, ..., X70 be the daily number of com plaints a particular company receives each day over 70 days (Xi is the ith day's number of complaints) and let Xi ~ Poi(5). Assume that the number of complaints is independent from day to day, and does not depend on the day of the week. 1 7O Dene X = X. 70 E1 ' If it was discovered that the data was in fact NOT independent, then which of the following statements is true. A 'x . 3 3' The answer to Q49 8: Q50 denitely stay the same but we can't be sure about Q51 without knowing more information. A '\\ . 1' b. The answers to Q49, 50 8: 51 don't change as long as we can assume that the data is normally distributed. A C- The answer to Q49 definitely stays the same but we can't be sure about Q50 and Q51 without knowing more information. A '~ - 9 d- The answers to Q49, 50 8: 51 don't change because n> 30 and the central limit theorem applies