15. Let Y be a r.v. having the geometric distribution with probability function (1-ey-10. y-1,2,3, - PY, e) = otherwise where 0 ses1. Suppose y,, Y2, , y, is the observed random sample. Obtain the ML estimates of (1) 8, (i) E(Y), and (iii) P(Y 2 4).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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15.
Let Y be a r.v. having the geometric distribution with probability function
-e-1e, y - 1,2, 3, .
0, otherwise
Py, 8) =
where o ses1. Suppose y,, Y2, , y, is the observed random sample. Obtain the
ML estimates of (1) 8, (i) E(Y), and (iii) P(Y 2 4).
Transcribed Image Text:15. Let Y be a r.v. having the geometric distribution with probability function -e-1e, y - 1,2, 3, . 0, otherwise Py, 8) = where o ses1. Suppose y,, Y2, , y, is the observed random sample. Obtain the ML estimates of (1) 8, (i) E(Y), and (iii) P(Y 2 4).
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