Question: In Exercises, the probability density function of a random variable is defined. (a) Find the expected value to the nearest hundredth. (b) Find the variance

In Exercises, the probability density function of a random variable is defined.
(a) Find the expected value to the nearest hundredth.
(b) Find the variance to the nearest hundredth.
(c) Find the standard deviation. Round to the nearest hundredth.

(d) Find the probability that the random variable has a value greater than the mean.
(e) Find the probability that the value of the random variable is within 1 standard deviation of the mean. Use the value of the standard deviation to the accuracy of your calculator.f(x) = 3 16 (4- x); [0, 2]

f(x) = 3 16 (4- x); [0, 2]

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