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"
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".
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