(1, 16 2 ≤ y ≤ 4, y ≥ 4. (a) Find the density function of Y. f(y) = y ≤ 0, ' 0 < y < 2, ' 2 ≤ y ≤ 4, ' y ≥ 4 (b) Find P(1.50 ≤ y ≤ 3.25). (Round your answer to four decimal places.) (c) Find P(Y≥ 1.75). (Round your answer to four decimal places.) (d) Find P(Y≥ 1.50 | Y≤3.25). (Round your answer to four decimal places.)
(1, 16 2 ≤ y ≤ 4, y ≥ 4. (a) Find the density function of Y. f(y) = y ≤ 0, ' 0 < y < 2, ' 2 ≤ y ≤ 4, ' y ≥ 4 (b) Find P(1.50 ≤ y ≤ 3.25). (Round your answer to four decimal places.) (c) Find P(Y≥ 1.75). (Round your answer to four decimal places.) (d) Find P(Y≥ 1.50 | Y≤3.25). (Round your answer to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:36
Let the distribution function of a random variable Y be
0,
y ≤ 0,
y
0 < y < 2,
8
F(y)
y²
2 ≤ y < 4,
16
1,
y ≥ 4.
(a) Find the density function of Y.
y ≤ 0,
'
0 < y < 2,
f(y) =
'
2 ≤ y ≤ 4,
'
y ≥ 4
(b) Find P(1.50 ≤ Y≤ 3.25). (Round your answer to four decimal places.)
(c) Find P(Y≥ 1.75). (Round your answer to four decimal places.)
(d) Find P(Y≥ 1.50 | Y≤ 3.25). (Round your answer to four decimal places.)
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