(a) The cumulative function Fx(x). (b) The median. (c) The mode.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 28E
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![The random variable X has the probability density function
2x,
0<x< 1,
fx(x) =
0,
elsewhere.
Find the following:
(a) The cumulative function Fx(x).
(b) The median.
(c) The mode.
(d) The mean, E(X).
(e) The mean-square value E(X²).
(f) The variance o?[X].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F550602dd-63d3-4177-b50e-ec53d954543b%2F79d4657b-d950-4db5-bd21-7feb104a768b%2F2d5vtw7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The random variable X has the probability density function
2x,
0<x< 1,
fx(x) =
0,
elsewhere.
Find the following:
(a) The cumulative function Fx(x).
(b) The median.
(c) The mode.
(d) The mean, E(X).
(e) The mean-square value E(X²).
(f) The variance o?[X].
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