A lot has 10 defective items Ten items are chosen randomly from this lot The probability that exactl...........

Mathematics (NDA) Probability

A lot has 10% defective items. Ten items are chosen randomly from this lot. The probability that exactly 2 of the chosen items are defective is?

0.4567

0.1937

0.7851

The probability of defective item is

P=0.1

Probability of non-defective item q=1-p

=1-0.1

=0.9

The probability that exactly 2 of the chosen items are defective

= ¹⁰C₂ (p)²(q)⁸

=10!/2!8! (0.1)² (0.9)⁸

=45 (0.1)² (0.9)⁸

=0.1937

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