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KCET2014MathematicsArea Under Curves

A box contains ( 100 ) bulbs, out of which ( 10 ) are defective. A sample of ( 5 ) bulbs is drawn. The probability that none is defective is

Options

  1. A( ( 1 10 )⁵ )
  2. B( ( 1 2 )⁵ )
  3. C( 9 10 )
  4. D( ( 9 10 )⁵ )

Correct answer

D. ( ( 9 10 )⁵ )

Step-by-step solution

Given that, total number of bulbs are 100 . Defective bulbs are 10 . So, p= 10 100 =0.1, q=0.9, n=5 Therefore p(x)= 5 x (p)^ x (q)^ 5-x p(0)= 5 0 (0.1)⁰(0.9)⁵= ( 9 10 )⁵

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