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Let X be a continuous random variable with pdf f(x) = x² for -1 < x < c. Find the value of c.

Let X be a continuous random variable with pdf f(x) = x² for -1 < x < c. Find the value of c.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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Question
Let X be a continuous random variable with pdf ƒ(x) = x² for −1 < x < c. Find the value of c. (a) 2¹/3 (b) 23 (c) 23 (d) 2 (e) None of the above
Transcribed Image Text:Let X be a continuous random variable with pdf ƒ(x) = x² for −1 < x < c. Find the value of c. (a) 2¹/3 (b) 23 (c) 23 (d) 2 (e) None of the above
Expert Solution
Step 1: Write the given information.

From the given information, the pdf of the random variable X is,

f open parentheses x close parentheses equals x squared comma space minus 1 less than x less than c


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