Refer to Exercise 5.88. If Y denotes the number of tosses of the die until you observe each of the six faces, Y = Y1 + Y2 + Y3 + Y4 + Y5 + Y6 where Y1 is the trial on which the first face is tossed, Y1 = 1, Y2 is the number of additional tosses required to get a face different than the first, Y3 is the number of additional tosses required to get a face different than the first two distinct faces, ..., Y6 is the number of additional tosses to get the last remaining face after all other faces have been observed. a Show that Cov(Yi, Yj) = 0,i, j = 1, 2,..., 6,i = j. b Use Theorem 5.12 to find V(Y ). c Give an interval that will contain Y with probability at least 3/4

MSIT Unit 11 – Confidence Intervals & Hypothesis Tests for Means Sampling Distribution of the sample mean ȳ: a distribution that has a shape, center & spread We use this distribution to determine probabilities for possible values of ȳ 3 Different Distributions: Population Distribution – the distribution of dice rolls in uniform (amodal +...