Let Z N(0, 1) and let y = [Z], where, for a real number x, [x] denotes the largest integer not exceeding x. (i) Find E(|Z|'), r > −1; (ii) Show that E(Y) = 2 Σ1[1 - Þ(i)].

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Let Z N(0, 1) and let y = [[Z]], where, for a real number x, [x] denotes the largest
integer not exceeding x.
(i) Find E (|Z|¹), r > −1;
(ii) Show that E(Y) = 2 Σ₁[1 − Þ(i)].
Transcribed Image Text:Let Z N(0, 1) and let y = [[Z]], where, for a real number x, [x] denotes the largest integer not exceeding x. (i) Find E (|Z|¹), r > −1; (ii) Show that E(Y) = 2 Σ₁[1 − Þ(i)].
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