Yes. the conditional expectation of X given Y is simply the expectation of X if X and Y are uncorrelated. This is a consequence of one of the properties of conditional expectation.

It is the integral (or sum) of the joint probability distribution function of the two events, integrated over the domain in which the condition is met.

No, the word "should" is not a preposition. It is a modal verb that is used to express obligation, necessity, or expectation in English sentences.

int i = 100;

while(i > 0) { // Conditional loop

--i;

if((i % 2) == 0) { // Conditional statement inside a conditional loop

System.out.println(i + " is even.");

}

}

If the network is very basic but much is expected of the network then some people would classify the topography as weak. Appropriately designed and maintained networks are important when they do work and vital when they stop working.