COMEDK · Maths · 36. Probability
From a lot of 20 items containing 4 defective items, 2 items are drawn at random. If \(X\) denotes the number of defective items, then find the mean of the probability distribution of \(X\).
- A \(\frac{3}{8}\)
- B \(\frac{1}{95}\)
- C \(\frac{2}{5}\)
- D \(\frac{28}{57}\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{5}\)
Step-by-step Solution
Detailed explanation
\(X\) can take values \(0,1,2\). The probability distribution of \(X\). Since there are 16 items are perfeci and 4 are defective. Given that two items are drawn randomly. \(\therefore P(\) no defective items are drawn \()=\frac{{ }^{16} C_{2}}{{ }^{20} C_{2}}\)…
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