5. Suppose Y has c.d.f. F(t) = 0, 1/6, 3/6, 1, for t < -1; for-1 < t < 2; for 2 ≤ t < 22; for t≥ 22. (a) Determine the p.m.f. or p.d.f. of Y, whichever is appropriate. (b) Recall that F(t) = P{Y ≤ t}. Define F(t-) by

5. Suppose Y has c.d.f. F(t) = 0, 1/6, 3/6, 1, for t < -1; for-1 < t < 2; for 2 ≤ t < 22; for t≥ 22. (a) Determine the p.m.f. or p.d.f. of Y, whichever is appropriate. (b) Recall that F(t) = P{Y ≤ t}. Define F(t-) by

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter1: Introduction To Algebra

Section1.4: Translating Words Into Symbols

Problem 2MRE

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Question

5. Suppose Y has c.d.f.
F(t) =
0,
1/6,
3/6,
1,
for t < -1;
for −1≤ t < 2;
for 2 < t < 22;
for t > 22.
(a) Determine the p.m.f. or p.d.f. of Y, whichever is appropriate.
(b) Recall that F(t) = P{Y ≤ t}. Define F(t-) by
F(t) = lim F(t).
s-t
s<t
F(t) is the probability of what?
(c) What is F(t) – F(t−) the probability of?
(d) For F as given in this problem, what is F(21) – F(21–) and F(22) –
F(22-)?
(e) Let I be the interval defined by {t € R[F(t) ≥ 1/27}. The interval I is
of the form I = [b, ∞o) where b equals what?
(f) Let I be the interval defined by {t € R[F(t) ≥ 2/6}. The interval I is
of the form I = [b, ∞o) where b equals what?

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