f(x) = ² (2 − x) for -1 ≤ x ≤ c and f(x) = 0 otherwise. (a) Explaining your work, find the value of the constant c. (b) What is P(X > 1)? (c) Calculate the expectation of X.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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f(x) = ² (2 − x)
for -1 ≤ x ≤ c
and f(x) = 0 otherwise.
(a) Explaining your work, find the value of the constant c.
(b) What is P(X> 1)?
(c) Calculate the expectation of X.
(d) Calculate the variance of X.
Transcribed Image Text:f(x) = ² (2 − x) for -1 ≤ x ≤ c and f(x) = 0 otherwise. (a) Explaining your work, find the value of the constant c. (b) What is P(X> 1)? (c) Calculate the expectation of X. (d) Calculate the variance of X.
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