csat-suneung 2016 Q24

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

For a continuous random variable $X$ that takes all real values in the closed interval $[ 0,1 ]$, the probability density function is $$f ( x ) = k x \left( 1 - x ^ { 3 } \right) \quad ( 0 \leq x \leq 1 )$$ Find the value of $24 k$. (Here, $k$ is a constant.) [3 points]

For a continuous random variable $X$ that takes all real values in the closed interval $[ 0,1 ]$, the probability density function is
$$f ( x ) = k x \left( 1 - x ^ { 3 } \right) \quad ( 0 \leq x \leq 1 )$$
Find the value of $24 k$. (Here, $k$ is a constant.) [3 points]

Paper Questions

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