An certain brand of upright freezer is available in three different rated capacities: 16 ft, 18 ft, and 20 ft. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X ha the following pmf. 16 18 20 P(x) 0.1 0.3 0.6 (a) Compute E(X), E(X²), and V(X). E(X) = 19 E(x²) = 362.8 V(X) = 1.8 (b) If the price of a freezer having capacity X is 60X – 650, what is the expected price paid by the next customer to buy a freezer? $ 490 (c) What is the variance of the price paid by the next customer? 6480
An certain brand of upright freezer is available in three different rated capacities: 16 ft, 18 ft, and 20 ft. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X ha the following pmf. 16 18 20 P(x) 0.1 0.3 0.6 (a) Compute E(X), E(X²), and V(X). E(X) = 19 E(x²) = 362.8 V(X) = 1.8 (b) If the price of a freezer having capacity X is 60X – 650, what is the expected price paid by the next customer to buy a freezer? $ 490 (c) What is the variance of the price paid by the next customer? 6480
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text: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.
16
18
20
p(x)
0.1
0.3
0.6
(a) Compute E(X), E(X²), and V(X).
E(X) = 19
ft3
E(X2) = |362.8
V(X) = 1.8
(b) If the price of a freezer having capacity X is 60X – 650, what is the expected price paid by the next customer to buy a freezer?
$ 490
(c) What is the variance of the price paid by the next customer?
6480
(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?
| ft3
Expert Solution
Step 1
Ans#- Given pmf of X
| x | 16 | 18 | 20 |
| P(x) | 0.1 | 0.3 | 0.6 |
(a) Compute E(x), E(x2), V(x)
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