Could you please help me understand this answer please?

Shouldn't the variable c?2 that they included in the variance affect the whole equation? (e.g.) Var(X)(x?2)= c?2(E[X)).....

615 pullits (ylauEu mine whether each of the following statement is true (i.e., always true) or false (i.e., not always true) 1. Let X be a random variable that takes values between 0 and c only, for some c 2 0, so that P(0 0, then Y ~ N (au + b, ao'). False Answer: False 3. The expected value of a non-negative continuous random variable X, which is defined by E [X] = /xfx (x) dx, also satisfies E [ X] = P(X > t) at. True Answer: True Solution: 1. The statement is true. Since 0