Let f(x) = 3 x 25 x2 for 0 ≤ x ≤ 5 and f(x) = 0 for all other values of x. 125 - (a) Verify that f is a probability density function. This answer has not been graded yet. (b) Find P(X < 1). (Round your answer to six decimal places.)
Let f(x) = 3 x 25 x2 for 0 ≤ x ≤ 5 and f(x) = 0 for all other values of x. 125 - (a) Verify that f is a probability density function. This answer has not been graded yet. (b) Find P(X < 1). (Round your answer to six decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f(x) = =
3
125
X√25 - x² for 0 ≤ x ≤ 5 and f(x) = 0 for all other values of x.
(a) Verify that f is a probability density function.
This answer has not been graded yet.
(b) Find P(X < 1). (Round your answer to six decimal places.)
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