Question: The probability density function for the number of users on a computer social network was found to beUpper S left parenthesis t right parenthesis equals

The probability density function for the number of users on a computer social network was found to beUpper S left parenthesis t right parenthesis equals StartFraction 1 Over 466.26 EndFraction left parenthesis negative 0.00007442 t Superscript 4 Baseline plus 0.01243 t cubed minus 0.7419 t squared plus 18.15 t minus 137.7 right parenthesisS(t)=1466.260.00007442t4+0.01243t30.7419t2+18.15t137.7where t was the number of years since birth on[13.613.6,62.362.3].Calculate the expected age of a user, as well as the standard deviation.

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