Find the Value of the Constant a That Makes the Given

question 83

Multiple Choice

Find the value of the constant a that makes the given function a probability density function on the stated interval. $f ( x ) = ax^ { 2 } ( 10 - x ) \text { on } [ 0,1 ]$

• A) \(\frac { 6 } { 37 }\)
• B) \(\frac { 37 } { 12 }\)
• C) \(\frac { 12 } { 37 }\)
• D) \(\frac { 37 } { 6 }\)
• E)1

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