Given:n=5p(x=2)=9p(x=3)p=?P(x=r)= nCr pr qn-rP(x=1)= 5C1 p1 q4= 5p q4P(x=3)= 5C3 p3 q2= 20 p3 q2Put values in equation, we have:5p q4= 9(20 p3 q2)q2= 9(4 p2)(1-p)2= 36p21+p2-2p= 36p235p2+2p-1=0

Q. 125.0( 2 Votes )

If X follows bino

Class 12th RD Sharma - Volume 2 33. Binomial Distribution

Answer :

Given:

n=5

p(x=2)=9p(x=3)

p=?

P(x=r)= ⁿC_r p^r q^n-r

P(x=1)= ⁵C₁ p¹ q⁴

= 5p q⁴

P(x=3)= ⁵C₃ p³ q²

= 20 p³ q²

Put values in equation, we have:

5p q⁴= 9(20 p³ q²)

q²= 9(4 p²)

(1-p)²= 36p²

1+p²-2p= 36p²

35p²+2p-1=0

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