csat-suneung 2006 Q8

csat-suneung · South-Korea · csat__math-humanities 3 marks Continuous Probability Distributions and Random Variables PDF Graph Interpretation and Probability Computation

A continuous random variable $X$ has a range of $0 \leqq X \leqq 3$, and the graph of its probability density function is as follows. When $\mathrm { P } ( m \leqq X \leqq 2 ) = \mathrm { P } ( 2 \leqq X \leqq 3 )$, what is the value of $m$? (Here, $0 < m < 2$.) [3 points]
(1) $\frac { \sqrt { 2 } } { 2 }$
(2) $\frac { \sqrt { 3 } } { 2 }$
(3) 1
(4) $\sqrt { 2 }$
(5) $\sqrt { 3 }$

A continuous random variable $X$ has a range of $0 \leqq X \leqq 3$, and the graph of its probability density function is as follows.\\
When $\mathrm { P } ( m \leqq X \leqq 2 ) = \mathrm { P } ( 2 \leqq X \leqq 3 )$, what is the value of $m$? (Here, $0 < m < 2$.) [3 points]\\
(1) $\frac { \sqrt { 2 } } { 2 }$\\
(2) $\frac { \sqrt { 3 } } { 2 }$\\
(3) 1\\
(4) $\sqrt { 2 }$\\
(5) $\sqrt { 3 }$

Paper Questions

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