Let X be a continuous random variable with pdf ƒ(x) = x² for −1 < x < c. Find thevalue of c.(a) 2¹/3(b) 23(c)23(d) 2(e) None of the above

Answered: Let X be a continuous random variable…

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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.

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

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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