Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2017MathematicsArea Under Curves

A box has ( 100 ) pens of which ( 10 ) are defective. The probability that out of a sample of ( 5 ) pens drawn one by one with replacement and at most one is defective is

Options

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

Correct answer

C. ( ( 9 10 )⁵+ 1 2 ( 9 10 )⁴ )

Step-by-step solution

Given that, probability of defective pens is [ P= 10 100 = 1 10 ] So, probability of non-defective pens is [ array l Q=1-P= 9 10 Since, n=5, x 1 . So, P(x 1)=P(x=0)+P(x=1) = 5 0 ( 1 10 )⁰ ( 9 10 )⁵+ 5 1 ( 1 10 )¹ ( 9 10 )⁴ = ( 9 10 )⁵+ 1 2 ( 9 10 )⁴ array ]

Practice Area Under Curves on Quantrex Academy →

More from Area Under Curves

Find the area bounded by the curve y = |2 - x| , the x –axis, and the lines x = 0 and x = 5 2026The area enclosed by the curve y = -x^2 and the line x + y + 2 = 0 is 2026The area of the region bounded by the line y = x + 2 and the curve x = -y^2 is 2026The area of the region in the first quadrant enclosed by the x -axis, the line x = 3 ,y and the circle x^2 + y^2 = 4 is 2026The area of the region bounded by the curve y^2 = x^3 , the y -axis and the lines y = 1 and y = 8 is 2026The area enclosed by the curve x = 3 , y = 3 is 2026The area in square units of the region bounded by the curve y = 16 - x^2 and lines x = 0, x = 4 above the X-axis is 2026The area bounded by the curves y = |x| - 1 and y = -|x| + 1 is 2026 Full Area Under Curves list All KCET PYQs