Directions Determine whether each of the following variables would best be modeled as continuous or discrete. (Example 1) a. The height of a high-rise apartment building b. The number of floors in a high-rise apartment building
Directions Determine whether each of the following variables would best be modeled as continuous or discrete. (Example 1) a. The height of a high-rise apartment building b. The number of floors in a high-rise apartment building
Directions Determine whether each of the following variables would best be modeled as continuous or discrete.
(Example 1)
a. The height of a high-rise apartment building
b. The number of floors in a high-rise apartment building
Expert Solution & Answer
To determine
Check whether the following variables are discrete or continuous variables.
a. The height of a high-rise apartment building
b. The number of floors in high-rise apartment building
Answer to Problem 1SE
a. The height of a high-rise apartment building is a continuous variable.
b. The number of floors in high-rise apartment building is a discrete variable.
Explanation of Solution
a.
The height of a high-rise apartment building is a continuous variable because it can take any value between a specified range, that is, the height can be 20.5 meters, 16.7 meters and so on.
b.
The number of floors in a high-rise apartment building is a discrete variable because it can only take finite and discrete values. The number of floors a building can have is 1,2,3,4 and so on. The number of floors cannot take values like 5.5 or 2.5.
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28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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