csat-suneung 2021 Q11

csat-suneung · South-Korea · csat__math-humanities 3 marks Linear combinations of normal random variables

A sample of size 16 is randomly extracted from a population following a normal distribution $\mathrm { N } \left( 20,5 ^ { 2 } \right)$, and the sample mean is $\bar { X }$. What is the value of $\mathrm { E} ( \bar { X } ) + \sigma ( \bar { X } )$? [3 points]
(1) $\frac { 91 } { 4 }$
(2) $\frac { 89 } { 4 }$
(3) $\frac { 87 } { 4 }$
(4) $\frac { 85 } { 4 }$
(5) $\frac { 83 } { 4 }$

A sample of size 16 is randomly extracted from a population following a normal distribution $\mathrm { N } \left( 20,5 ^ { 2 } \right)$, and the sample mean is $\bar { X }$. What is the value of $\mathrm { E} ( \bar { X } ) + \sigma ( \bar { X } )$? [3 points]\\
(1) $\frac { 91 } { 4 }$\\
(2) $\frac { 89 } { 4 }$\\
(3) $\frac { 87 } { 4 }$\\
(4) $\frac { 85 } { 4 }$\\
(5) $\frac { 83 } { 4 }$

Paper Questions

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