Question

A probability density function of a random variable is given by $f(x) = frac{1}{19} left(1 + frac{4}{sqrt{x}} ight)$ on the interval $[25, 36]$. Find the expected value, the variance, and the standard deviation. The expected value is $mu approx$ (Round to two decimal places as needed.) The variance is $Var(X) approx$ (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation is $sigma approx$ (Round the final answer to two decimal places as needed. Use the expected value and variance rounded to two decimal places. Do not round any other intermediate values.)

          A probability density function of a random variable is given by $f(x) = frac{1}{19} left(1 + frac{4}{sqrt{x}}
ight)$ on the interval $[25, 36]$. Find the expected value, the variance, and the standard deviation.
The expected value is $mu approx$ 
(Round to two decimal places as needed.)
The variance is $Var(X) approx$
(Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.)
The standard deviation is $sigma approx$
(Round the final answer to two decimal places as needed. Use the expected value and variance rounded to two decimal places. Do not round any other intermediate values.)

$A probability density function of a random variable is given by f(x) = frac119 left(1 + frac4sqrtx ight) on the interval [25, 36]. Find the expected value, the variance, and the standard deviation. The expected value is mu approx (Round to two decimal places as needed.) The variance is Var(X) approx (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation is sigma approx (Round the final answer to two decimal places as needed. Use the expected value and variance rounded to two decimal places. Do not round any other intermediate values.)$

Added by Robert V.

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