Distribution function of a random variable X is given by F(x) = 1 - 1/(x ^ 2); 1 <= x < ∞ Then P(X <= 2) and respectively P(X > 3/2) are
Question
Solution 1
The cumulative distribution function (CDF) F(x) of a random variable X is given by F(x) = 1 - 1/(x^2) for 1 <= x < ∞.
To find P(X <= 2), we simply substitute x = 2 into the CDF:
F(2) = 1 - 1/(2^2) = 1 - 1/4 = 3/4.
So, P(X <= 2) = 3/4.
To find P(X > 3/2), we use the property that P(X Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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