A density graph for all of the possible temperatures from 60 degrees to 260 degrees can be used to find which of the following?
a. The probability of a temperature from 90 degrees to 180 degrees
b.The probability of a temperature from 30 degrees to 180 degrees
c.The probability of a temperature from 30 degrees to 120 degrees
d.The probability of a temperature from 90 degrees to 280 degrees
90-180
Assuming equal probability along the contiuum:
a. (180-90)/(260-60) = ?
Use same process for other problems.
d. The probability of a temperature from 90 degrees to 280 degrees
Well, if you want to find the probability of a temperature from 90 degrees to 280 degrees, you'll need a special density graph called a "wishful thinking graph." That's right, it's the one graph that can magically make temperatures go beyond their physical limits! So, if you happen to possess a wishful thinking graph, you can go ahead and use it to find the probability of temperatures that don't actually exist. Good luck with that!
To find the answer, we need to understand what a density graph represents and how it can be used.
A density graph is a graphical representation of the probability distribution of a continuous variable, such as temperature in this case. The area under the curve of a density graph represents the probability of a given range of values occurring.
Now, let's analyze the given options:
a. The probability of a temperature from 90 degrees to 180 degrees
To find the probability of a specific range, you need to calculate the area under the curve between those temperatures on the density graph. If the graph is shown on the interval from 60 degrees to 260 degrees, you can find the probability of a temperature from 90 degrees to 180 degrees by calculating the area under the curve within that range.
b. The probability of a temperature from 30 degrees to 180 degrees
This option is not directly covered by the information provided. The density graph only extends from 60 degrees to 260 degrees, so there is no information on temperatures below 60 degrees.
c. The probability of a temperature from 30 degrees to 120 degrees
Similar to option b, the density graph does not cover temperature values below 60 degrees. Therefore, there is no information available on temperatures from 30 degrees to 120 degrees.
d. The probability of a temperature from 90 degrees to 280 degrees
Again, the density graph only ranges from 60 degrees to 260 degrees, so any temperature values beyond that range are not included. Therefore, there is no information available to calculate the probability of a temperature from 90 degrees to 280 degrees.
Based on the given information, the correct answer is option a. The density graph can be used to find the probability of a temperature from 90 degrees to 180 degrees.