Using the uniform distribution, it is found that the variance of x is of 2.0833.
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The variance is given by:
In the die, all outcomes between 1 and 6 are equally as likely, hence the bounds are a = 1, b = 6, and the variance is given by:
More can be learned about the uniform distribution at brainly.com/question/13889040
The correlation between the actual masses of a set of objects and the respective masses of the same set of objects displayed by the scale is; 1
<h3>What is the Correct Scale Calibration?</h3>
We are told that a certain scale is not calibrated correctly,
Mass displayed = 0.75 kg (less than its actual mass).
The scale of display = 1
Thus, the correlation between actual mass and displayed mass is 1 due to the fact that correlation is independent of change of origin and scale and correlation between any value and value minus 0.75 will be one.
Thus, the correlation between the actual masses of a set of objects and the respective masses of the same set of objects displayed by the scale is 1.
Read more about Scale Calibration at; brainly.com/question/13853335
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Relax and go to a quiet place and study and make sure that you take breaks about 5 to 10 mins so u don't get to stressed out