C1. Let X be a continuous random variable with PDF f(x) = (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.
C1. Let X be a continuous random variable with PDF f(x) = (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.
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
Problem 9PPS
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![C1. Let X be a continuous random variable with PDF
f(x) = (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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dd22a7c-6880-4a63-9133-40fb48f40bc4%2F1602691b-2c46-478a-a338-450ce044e567%2Fwvc544o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:C1. Let X be a continuous random variable with PDF
f(x) = (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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