Question

If X follows a binomial distribution with parameters $n = 6$and p. If $9 P ( X = 4 ) = P ( X = 2 )$ then $p =$

• A. $\frac { 1 } { 3 }$
• B. $\frac { 1 } { 2 }$
• C. $\frac { 1 } { 4 }$
• D. 1

Answer 1

Answer: (C)

$\frac { 1 } { 4 }$

Answer 2

9. ${ } ^ { 6 } C _ { 4 } p ^ { 4 } q ^ { 2 } = { } ^ { 6 } C _ { 2 } p ^ { 2 } q ^ { 4 }$

Putting $q = 1 - p$ we get required result.