Question

c) Consider the statistical population consisting of the tour sample variances obtained part (b), and let Y denote the random variable resulting from a simple random selectio of one number from this statistical population. Compute E(Y). (d) Compare σ3 and E(Y). If the sample variance in part (b) was computed according to formula that divides by n instead of n-1, how would ơ, and E(Y) compare? 2. Section 2.2, Exercise 1 Give the sample space for cach of the following experiments (a) A die is rolled twice and the outcomes are recorded (b) A die is rolled twice and the sum of the outcomes is recorded (c) From a shipment of 500 iPods, 6 of which have a click wheel problem, a simple random sample of 30 iPods is taken and the number found to have the click wheel problem is recorded (d) Fuses are inspected until the first defective fuse is found. The number of fuses inspected is recorded. 3. Section 2.2. Exercise 3 An eugineering firm is considering the posibility of ustablishing a brand in Toronto and one in Mexico City. Let. T be the event that thhe firmi will establish a branch office in Toronto and M be the event that the firm will establish a braach office in Mexico City (a) Expresss each of the eveuts describel below in terins of set operations on T and i. The firii, est allisles a branch offic', İn both citis ii. .The linii ostal,lishes a l rand, odlar, İī iwillir of the cities. 5 6 8 9 0

Answer 1