10) Let f(x) by the probability density function of some continuous random variable. Explain why it must be true that [f(x) dx =1.
10) Let f(x) by the probability density function of some continuous random variable. Explain why it must be true that [f(x) dx =1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**10)** Let \( f(x) \) be the probability density function of some continuous random variable. Explain why it must be true that
\[
\int_{-\infty}^{\infty} f(x) \, dx = 1.
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Transcribed Image Text:**10)** Let \( f(x) \) be the probability density function of some continuous random variable. Explain why it must be true that
\[
\int_{-\infty}^{\infty} f(x) \, dx = 1.
\]
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