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Which is a discrete random variable?Y = "height of an emperor penguin on Antarctica"Z = "results of flipping two coins"X = "weight of the microprocessor inside your computer"W = "exact time it takes for a computer to update its software"

Question

Which is a discrete random variable?Y = "height of an emperor penguin on Antarctica"Z = "results of flipping two coins"X = "weight of the microprocessor inside your computer"W = "exact time it takes for a computer to update its software"

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Solution

A discrete random variable is a variable that can take on a countable number of values. Each of these values has a positive probability associated with it.

Looking at the options:

Y = "height of an emperor penguin on Antarctica" - This is a continuous variable because height can take on any value within a certain range, not just specific, countable values.

Z = "results of flipping two coins" - This is a discrete random variable. The possible outcomes (HH, HT, TH, TT) are countable and each has a specific probability.

X = "weight of the microprocessor inside your computer" - This is a continuous variable because weight can take on any value within a certain range, not just specific, countable values.

W = "exact time it takes for a computer to update its software" - This is a continuous variable because time can take on any value within a certain range, not just specific, countable values.

So, the discrete random variable among the options is Z = "results of flipping two coins".

This problem has been solved

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