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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
Related questions
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F8fae6872-2ac1-4b3f-934c-75dba1f2cab7%2Fgy64qr_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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