912 discrete or continuous random variable indicate in the...

9.12 Discrete or continuous random variable? Indicate in the following examples whether the random variable 𝑋 is discrete or continuous. Explain your reasoning. 𝑋 is the number of days last week that a randomly chosen child exercised for at least one hour. 𝑋 is the amount of time in hours that a randomly chosen child spends watching television today. 𝑋 is the number of television sets in a randomly chosen household.

Transcript

00:02 Hello students, today we will discuss about this question.

00:04 In this question, we need to find whether the given variable is discrete variable or continuous.

00:20 That is equals to question mark.

00:23 So here, first of all, we know that the discrete data and continuous data that are both the type of quantitative data, the main difference between them, that is the type of information they represent.

00:37 The discrete data typically only shows the information for a particular event where while the continuous data often shows the trends in the data over the time.

00:51 So here we can say that the discrete variable only take a finite number of values where the continuous random variable that can take any value in the given interval.

01:06 So here first of all, the 13, that is, we have given let x represent the number of cars in university parking lot.

01:26 So here we need to find whether it is discrete or continuous.

01:31 So here we can say it is a discrete because the number of cars that can be represented by the whole number.

01:39 So here the equation 14 that is let x that represent the length of time it takes to complete an exam.

02:01 So here we need to find whether the given is continuous or discrete.

02:06 So here we can say it is continuous data because the time to complete that can any real value in between the exam time.

02:17 So therefore...

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