csat-suneung 2011 Q26 (Probability and Statistics)

csat-suneung · South-Korea · csat__math-science 3 marks Discrete Probability Distributions Probability Distribution Table Completion and Expectation Calculation
The probability mass function of a discrete random variable $X$ is $$\mathrm { P } ( X = x ) = \frac { a x + 2 } { 10 } ( x = - 1,0,1,2 )$$ What is the value of the variance $\mathrm { V } ( 3 X + 2 )$ of the random variable $3 X + 2$? (where $a$ is a constant.) [3 points]
(1) 9
(2) 18
(3) 27
(4) 36
(5) 45
The probability mass function of a discrete random variable $X$ is
$$\mathrm { P } ( X = x ) = \frac { a x + 2 } { 10 } ( x = - 1,0,1,2 )$$
What is the value of the variance $\mathrm { V } ( 3 X + 2 )$ of the random variable $3 X + 2$? (where $a$ is a constant.) [3 points]\\
(1) 9\\
(2) 18\\
(3) 27\\
(4) 36\\
(5) 45