Suppose that the random variable X follows a beta distribution with alpha=1 and beta=3, Beta(1,3)  Find p(x>1/3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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  1. Suppose that the random variable X follows a beta distribution with alpha=1 and beta=3, Beta(1,3) 
  2. Find p(x>1/3)
  3. In R simulate n = 1000 from Beta(1,3) p(x>1/3) and verify the probability is close to the theoretical.
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