Given that X is a discrete random variable, then the laws of expected value and variance can be applied to show that E(X + 5) = E(X) + 5, and V(X + 5) = V(X) + 25.
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Q. 2A continuous variable may take on any value within its relevant range even though the measurement device may not be precise enough to record it.
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Q. 3The number of homeless people in Boston is an example of a discrete random variable.
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Q. 4The length of time for which an apartment in a large complex remains vacant is a discrete random variable.
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Q. 5The mean of a discrete probability distribution for X is the sum of all possible values of X, divided by the number of possible values of X.
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Q. 6The number of home insurance policy holders is an example of a discrete random variable
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Q. 7A random variable is a function or rule that assigns a number to each outcome of an experiment.
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