Compute E(X), E(X2), and V(X). E(X) =   ft3 E(X2) =   V(X) =  (b) If the price of a freezer having capacity X is 67X − 650, what is the expected price paid by the next customer to buy a freezer? $  (c) What is the variance of the price paid by the next customer

An certain brand of upright freezer is available in three different rated capacities: 16 ft³, 18 ft³, and 20 ft³. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf. | X p(x) E(X)= E(X²) = V(X) = 18 20 16 0.1 0.4 0.5 (a) Compute E(X), E(X²), and V(X). ft ³ (b) If the price of a freezer having capacity X is 61X- 650, what is the expected price paid by the next customer to buy a freezer? $ (c) What is the variance of the price paid by the next customer? (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X – 0.009x2. What is the expected actual capacity of the freezer purchased by the next customer? (Enter your answer to four decimal places.) ft³

Each of the following are composite functions of the form f(g(x)) . Identify the outer function f(x) , the inner function g(x) , and dy dx for each. a. y= 3   1+4x2 f(x)=       g(x)=       dy dx =     b. y=23x2+27x−110 f(x)=       g(x)=       dy dx =     c. y=(33x−1)73 f(x)=       g(x)=       dy dx =

If cp (x) = cas x, find e (-x)