Let f(x) = k(5x − x²) if 0 ≤ x ≤ 5 and f(x) = 0 if x < 0 or x > 5. - (a) For what value of k is f a probability density function? k = (b) For that value of k, find P(X > 1). P(X > 1) = (c) Find the mean. μ =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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Let f(x) = k(5x − x²) if 0 ≤ x ≤ 5 and f(x) = 0 if x < 0 or x > 5.
-
(a) For what value of k is f a probability density function?
k =
(b)
For that value of k, find P(X > 1).
P(X > 1) =
(c) Find the mean.
μ =
Transcribed Image Text:Let f(x) = k(5x − x²) if 0 ≤ x ≤ 5 and f(x) = 0 if x < 0 or x > 5. - (a) For what value of k is f a probability density function? k = (b) For that value of k, find P(X > 1). P(X > 1) = (c) Find the mean. μ =
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