Suppose that X is a random variable whose cumulative distribution function (cdf) is given by: F(x)...

Question

Question

Suppose that X is a random variable whose cumulative distribution function (cdf) is given by:

F(x) = Cx -x^2, 0<x<1

for some constant C

a. What is the value of C?

b. Find P(1/3 < X < 2/3)

c. Find the median of X.

d. What is the expected value of X?

math Statistics-And-Probability

Answer 1

Answer #1

a)

c = 8/3

b)

P(1/3 < X < 2/3)

c)

=0.5

solving

a = median = 0.671286

d)

Answer 2

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