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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 44CR
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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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