In a Binomial distribution B(n, p) , the sum and product of the mean and the variance are 5 and 6 respectively, then 6(n+p-q)=

Step-by-step solution

Mean =n p and Variance =n p q Sum =n p+n p q=n p(1+q)=5 ...(i) Product =n^2 p^2 q=6 ...(ii) From (i) and (ii) aligned & n^2 p^2(1+q)^2 n^2 p^2 q = 25 6 6 q^2-13 q+6=0 & q= 2 3 p=- 2 3 = 1 3 (q 3 2 ) aligned From (i) n=9 6(n+p-q)=6 (9+ 1 3 - 2 3 )=52 ;