csat-suneung 2022 Q24 (Probability and Statistics)

csat-suneung · South-Korea · csat__math 3 marks Binomial Distribution Find Parameters from Moment Conditions
A random variable $X$ follows a binomial distribution $\mathrm { B } \left( n , \frac { 1 } { 3 } \right)$ and $\mathrm { V} ( 2 X ) = 40$. What is the value of $n$? [3 points]
(1) 30
(2) 35
(3) 40
(4) 45
(5) 50
A random variable $X$ follows a binomial distribution $\mathrm { B } \left( n , \frac { 1 } { 3 } \right)$ and $\mathrm { V} ( 2 X ) = 40$. What is the value of $n$? [3 points]\\
(1) 30\\
(2) 35\\
(3) 40\\
(4) 45\\
(5) 50