4. A certain brand of upright freezer is available in three different rated capacities: 16 ft3 ,18ft3, and 20ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has pmf: X 16 18 20 P(x) 0.2 0.5 0.3 a. Compute E(X), E(X²), V(X) and standard deviation of X. b. If the price of a freezer having capacity X is 70X-650, what is the expected price paid by the next customer to buy a freezer? What is the variance of price paid by the next customer to buy a freezer?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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4. A certain brand of upright freezer is available in three different rated capacities: 16
ft3 ,18ft3, and 20ft3. Let X = the rated capacity of a freezer of this brand sold at a
certain store. Suppose that X has pmf:
X 16 18 20 P(x) 0.2 0.5 0.3
a. Compute E(X), E(X²), V(X) and standard deviation of X.
b. If the price of a freezer having capacity X is 70X-650, what is the expected price paid
by the next customer to buy a freezer? What is the variance of price paid by the next
customer to buy a freezer?
Transcribed Image Text:4. A certain brand of upright freezer is available in three different rated capacities: 16 ft3 ,18ft3, and 20ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has pmf: X 16 18 20 P(x) 0.2 0.5 0.3 a. Compute E(X), E(X²), V(X) and standard deviation of X. b. If the price of a freezer having capacity X is 70X-650, what is the expected price paid by the next customer to buy a freezer? What is the variance of price paid by the next customer to buy a freezer?
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