Given the probability density function
f ( x ) = 3 125 x 2 \displaystyle {f{{\left({x}\right)}}}=\frac{{3}}{{125}}{x}^{{2}} f ( x ) = 125 3 x 2 over the interval
[ 0 , 5 ] \displaystyle {\left[{0},{5}\right]} [ 0 , 5 ] , find the expected value, the mean, the variance and the standard deviation.
Expected value:
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Mean:
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Variance:
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Standard Deviation:
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)