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JEE Main 2024 (Online) 5th April Morning Shift

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From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable \(X\) denote the number of defective items in the sample. If the variance of \(X\) is \(\sigma^2\), then \(96 \sigma^2\) is equal to __________.

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