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From a lot of 6 items containing 2 defective items, a sample of 4 items are drawn at random. Let…

Mathematics20186 marksShort answer
From a lot of 6 items containing 2 defective items, a sample of 4 items are drawn at random. Let the random variable $X$ denote the number of defective items in the sample. If the sample is drawn without replacement, find:
(a)[2.0]
The probability distribution of $X$
(b)[2.0]
Mean of $X$
(c)[2.0]
Variance of $X$

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Probability

From ISC 2018 Mathematics Paper 1, question 14.