AP EAMCET2009MathematicsProbability
If X is a binomial variate with the range 0,1,2,3,4,5,6 and P(X=2)=4 P(X=4) , then the parameter p of X is
Options
- A1 3
- B1 2
- C2 3
- D3 4
Correct answer
A. 1 3
Step-by-step solution
Here, n=6 According to the question array rlrl ^6 C₂ p^2 q^4=4 ^6 C₄ p^4 q^2 q^2 =4 p^2 (1-p)^2 & =4 p^2 3 p^2+2 p-1 & =0 & (p+1)(3 p-1) & =0 & = 1 3 & p cannot be negative ) array