If two variables X and Y are independent, learning the values of Y does not change the prediction of X. O True

What is the correct way to check whether a variable x is divisible by 3 and divisible by 2 but not divisible by 5?     if( (x%3 && x%2 && !x%5)     if( (x%3 ==0) && (x%2 ==0) && !(x%5 ==0))     if( (x%3 ==0) && (x%2 ==0) ^ (x%5 ==0))     if( (x%3 ==0) && (x%2 ==0) || !(x%5 ==0))

X is a discrete random variable with the following PMF: P(X = 1.4) = 0.25 P(X = -9.7) = 0.25 P(X = 10) = 0.5 Find the standard deviation of X.

Consider the following program statement consisting of a while loopwhile ¬B do SAssume that the Boolean expression B takes the value true with probability p and the value false withprobability q. Assume that the successive test on B are independent.1. Find the probability that the loop will be executed k times.2. Find the expected number of times the loop will be executed.3. Considering the same above assumptions, suppose the loop is now changed torepeat S until BWhat is the expected number of times that the repeat loop will be executed?

For each of the attached probabilistic expressions, please answer "yes" or "no" to indicate if it is equal to P(A,B,C), given Boolean random variables A, B and C , and no independence or conditional independence are assumed between any of them.