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KCET2019MathematicsProbability

If ' ( X ) ' has a binomial distribution with parameters ( n=6, p ) and ( P(X=2)=12, P(X=3)=5 ) then ( P= )

Options

  1. A( 16 21 )
  2. B( 5 16 )
  3. C( 5 12 )
  4. Dnone

Correct answer

D. none

Step-by-step solution

Given Options are not matching n =6P(x=r)= n r q^ n-r p^ r P(x=2)=12 6 2 q⁴ p²=12P(x=3)=5 6 3 q³ p³=5 (1) (2) 6 2 q⁴ p² 6 3 q³ p³ = 12 5 15 q 20 p = 12 5 75 q=240 p75(1-p)=240 p75-75 p=240 p75=315 pp= 75 315 = 5 21

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