# E ^ x-y

## Question. Name the law given and verify it using a truth table. X+ X’.Y=X+Y My Answer. X Y X’ X’.Y X+X’.Y X+Y 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0

In probability theory, the expected value of a random variable X {\displaystyle X}, denoted E {\displaystyle E} or E {\displaystyle E}, is a generalization of the weighted average, and is intuitively the arithmetic mean of a large number of independent realizations of X {\displaystyle X}. The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment. Expected value is a key … E ( X | X) is not a constant, it is equal to X. Similarly, E ( E ( X | Y) | Y) is equal to E ( X | Y). How you can explain this is depending on how your definition of conditional expectation is. Informally, E ( X | Y) is a random variable, defined for all outcomes of Y, that is equal to the expectation of X given this outcome of Y ( E ( X | Y = a) In mathematics, an exponential function is a function of the form f ( x ) = a b x, {\displaystyle f(x)=ab^{x},} where b is a positive real number, and the argument x occurs as an exponent. For real numbers c and d, a function of the form f ( x ) = a b c x + d {\displaystyle f(x)=ab^{cx+d}} is also an exponential function, since it can be rewritten as a b c x + d = ( a b d ) ( b c ) x. {\displaystyle … 01.05.2008 1) e0 =1, a0 =1 2) e x+y=exe y, a =axa 3) e−x = 1 ex, a −x = 1 ax 4) ex y =e xy, ax y =a 5) d dx e x=e , d dx eg(x) =g′(x)eg(x), d dx ax =(lna)a 6) R ex dx=ex +C, R eax dx= 1 a e ax +C ifa6=0 7) lim x→∞ ex =∞, lim x→−∞ ex =0 lim x→∞ ax =∞, lim x→−∞ ax =0ifa>1 lim x→∞ ax =0, lim x→−∞ ax =∞ if0