Need help with it **Probability Distribution of Freezer Storage Space**An appliance dealer sells three different models of upright freezers with storage capacities of 13.5, 15.9, and 19.1 cubic feet, respectively. Let \( X \) represent the storage space purchased by the next customer. The probability distribution of \( X \) is as follows:\[\begin{array}{c|ccc}x & 13.5 & 15.9 & 19.1 \\\hlinef(x) & 0.2 & 0.4 & 0.4 \\\end{array}\](a) If the price of a freezer with \( X \) cubic feet is \( 25X - 8.5 \), what is the expected price paid by the next customer to buy a freezer?(b) Suppose that although the rated capacity of a freezer is \( X \), the actual capacity is given by \( h(X) = X - 0.01X^2 \). What is the expected actual capacity of the freezer purchased by the next customer?

It is given that the probability distribution of random variable X in tabulated form.

(a) If the price of a freezer having capacity X cubic feet is 25X-8.5, what is the expected price paid by the next customer to buy a freezer? (b) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X - 0.01X2. What is the expected actual capacity of the freezer purchased by the next customer?