Q.1 Let X is the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has probability mass function 13.5 15.9 19.1 P(X = x) 0.2 0.5 0.3 %3D (iv) If the price of a freezer having capacity X cubic feet is 25X – 8.5, what is the expected price and variance paid by the next customer to buy a freezer?

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Q.1 Let X is the amount of storage space purchased by the
next customer to buy a freezer. Suppose that X has
probability mass function
X
13.5
15.9
19.1
P(X = x)
0.2
0.5
0.3
(iv) If the price of a freezer having capacity X cubic feet
is 25X – 8.5, what is the expected price and variance paid
by the next customer to buy a freezer?
(v) Find moment generating function.
Transcribed Image Text:Q.1 Let X is the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has probability mass function X 13.5 15.9 19.1 P(X = x) 0.2 0.5 0.3 (iv) If the price of a freezer having capacity X cubic feet is 25X – 8.5, what is the expected price and variance paid by the next customer to buy a freezer? (v) Find moment generating function.
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