Random Variable The accompanying table lists probabilities for...

Question

Random Variable The accompanying table lists probabilities for the corresponding numbers of unlicensed software packages when four software packages are randomly selected in China. What is the random variable, what are its possible values, and are its values numerical?

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Accepted Answer

All right, hello, everyone. This question says, in a quality control test, a random variable represents the number of defective items found in a batch of 20 products. What is the random variable? What are its possible values, and are its values numerical? So what makes a random variable, right? Recall that a random variable is a variable whose possible values are numerical. They are numerical, but they're outcomes of a random phenomenon. So there are numerical outcomes of a random phenomenon. So in this context, the random variable X. Represents the number of defective items. That were found in the sample. Right, or in the batch in this case of 20 products. So this brings you now to the possible values, right? In this case. The possible values of X. Are simply the number of defective items in the batch. And this can range from 0, which means that no items are defective, to 20, meaning that all items of the batch are defective. And going back to our earlier point, these values are in fact numerical because they represent countable qualities. You can actually count how many products of the batch are defective. So now, this brings us to our final answer, which reads as follows. The random variable is X, possible values are 0 to 20, and the values are numerical. And there you have it. So with that being said, thank you so very much for watching, and I hope you found this helpful.

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