above average warmth extended over the east and southeast on Jan.13, 2005.The days forecasted high temperatures in four cities in the affected area were as follows: Burlington, Vt. 55 degrees F, Durham, N.C. 74 degrees F, Williamsburg, Va. 74 Degrees F., and Augusta Ga., 75 degrees F.
What is the random variable involved in this study?
Is this random value discrete or continous? Explain.
I have my random variable figured out what I am having trouble with is this discrete or continous. My answer which I hopefully got right is 69.5. My question is this is a continous just I am not sure how to explain my answer that I got. Any help is greatly appreciated.
Discrete only can be whole numbers, no partial.
The random variable involved in this study is the high temperature in each city on Jan.13, 2005.
To determine whether this random variable is discrete or continuous, we need to consider the possibilities for this variable.
In this case, the high temperature can take on any value within a range of temperatures. For example, it can be 55 degrees F in Burlington, 74 degrees F in Durham and Williamsburg, and 75 degrees F in Augusta. However, between these values, there are also an infinite number of other possible temperatures.
Since there are infinitely many possible values, the random variable "high temperature" in this study is considered continuous.
Regarding your answer, 69.5, it seems like you might be trying to find the average of the high temperatures in all four cities. However, it's important to note that while the average temperature across these four cities is indeed 69.5 degrees F, this doesn't necessarily indicate the nature (discrete or continuous) of the random variable.