Domain = {-3, 2}
Range = All real numbers
We can represent the range in interval notation as which is basically saying
. The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.
Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".
The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
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