Question: 1. - In general, the expected value of a function g (x) of the continuous random variable X is given by: O E[g(X)] = E
1.- In general, the expected value of a function g (x) of the continuous random variable X is given by:

![the continuous random variable X is given by: O E[g(X)] = E](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66ef35527d813_78666ef35526eec2.jpg)
![g(x)p(x) O ELg()] = g(x)p(x)dx O ELg(X)] = g(x)f(x)dx O Erg(0)] =](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66ef3552b55ef_78666ef3552a3254.jpg)
O E[g(X)] = E g(x)p(x) O ELg()] = g(x)p(x)dx O ELg(X)] = g(x)f(x)dx O Erg(0)] = 2 g(x)f(x)O ED() = 12 ED() = 5 ED() = 7 C EDX() =O P(X = 3) = 27 O P(X = 3) = 12 27 O P(X = 3) = O 6 P(X = 3) = 27
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