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Problem: Let a continuous random variable X be given that takes values in [0, 1],and whose distribution function F satisfies
F(x) = 2x2- x4 for 0 ≤ x ≤ 1.
Required:
a. How would you compute P(1/4≤ X≤3/4)?
b. What would be the probability density function of X?
For this question, you may take our word that f(x) is greater than or equal to zero for all values of x in the domain. Prove the other condition that will make
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