Answer :
Final answer:
As x approaches positive infinity, the given function F(x) = 1 - 1/x^2 approaches 1.
Explanation:
The cumulative distribution function (CDF) F(x) = 1 - 1/x^2 is a mathematical function that describes the probability that a real-valued random variable X with a given probability distribution will be found at a value less than or equal to x. In the given function, as x approaches positive infinity, the denominator of the fraction in the function (i.e., x^2) also approaches infinity. This makes the value of the fraction (1/x^2) closer to 0. Therefore, the entire function F(x), which is 1 minus this fraction, approaches 1. So, as x approaches positive infinity, the function F(x) = 1 - 1/x^2 approaches 1, which means the correct answer is choice B.
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