An appliance dealer sells three different models of upright freezers having 13.4, 16.0, and 19.2 cubic feet of storage space. Consider the random variable x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. X Hx ox p(x) 13.4 0.2 16.0 0.5 19.2 0.3 (a) Calculate the mean and standard deviation of x (in cubic feet). (Hint: See Example 6.15. Round your standard deviation to four decimal places.) cubic ft cubic ft (b) Give an interpretation of the mean and standard deviation of x in the context of observing the outcomes of many purchases. O The mean represents the long run average storage space of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much the storage space in freezers purchased deviates from the mean. O The mean represents the long run average cost of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much is spent on freezers purchased deviates from the mean. O The mean represents the long run average distribution of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much the distribution in freezers purchased deviates from the mean. O The mean represents the long run average storage type of freezer sold by this particular appliance dealer. The standard deviation represents a typical deviation in what type of freezer purchased deviates from the mean. O The mean represents the long run average number of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how many freezers purchased deviates from the mean.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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An appliance dealer sells three different models of upright freezers having 13.4, 16.0, and 19.2 cubic feet of storage space. Consider the random variable x = the amount of storage space purchased
by the next customer to buy a freezer. Suppose that x has the following probability distribution.
p(x)
13.4 0.2
=
X
16.0 0.5
19.2
0.3
(a) Calculate the mean and standard deviation of x (in cubic feet). (Hint: See Example 6.15. Round your standard deviation to four decimal places.)
Mx
cubic ft
cubic ft
(b) Give an interpretation of the mean and standard deviation of x in the context of observing the outcomes of many purchases.
The mean represents the long run average storage space of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much the storage
space in freezers purchased deviates from the mean.
The mean represents the long run average cost of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much is spent on freezers
purchased deviates from the mean.
The mean represents the long run average distribution of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much the distribution
in freezers purchased deviates from the mean.
The mean represents the long run average storage type of freezer sold by this particular appliance dealer. The standard deviation represents a typical deviation in what type of freezer
purchased deviates from the mean.
The mean represents the long run average number of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how many freezers purchased
deviates from the mean.
Transcribed Image Text:An appliance dealer sells three different models of upright freezers having 13.4, 16.0, and 19.2 cubic feet of storage space. Consider the random variable x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. p(x) 13.4 0.2 = X 16.0 0.5 19.2 0.3 (a) Calculate the mean and standard deviation of x (in cubic feet). (Hint: See Example 6.15. Round your standard deviation to four decimal places.) Mx cubic ft cubic ft (b) Give an interpretation of the mean and standard deviation of x in the context of observing the outcomes of many purchases. The mean represents the long run average storage space of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much the storage space in freezers purchased deviates from the mean. The mean represents the long run average cost of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much is spent on freezers purchased deviates from the mean. The mean represents the long run average distribution of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much the distribution in freezers purchased deviates from the mean. The mean represents the long run average storage type of freezer sold by this particular appliance dealer. The standard deviation represents a typical deviation in what type of freezer purchased deviates from the mean. The mean represents the long run average number of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how many freezers purchased deviates from the mean.
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