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Answer:
And we can find this probability using excel or the normal standard tabe and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got:
The equation of the graph of is (d) on a coordinate plane, an absolute value graph starts at (0, 0) and goes up through (4, 2).
The equation of the graph is represented as:
See attachment for the graph of
From the attached graph, the curve passes through points (0,0) and (4,2).
Hence, the equation of the graph of is (d)
Read more about graphs and functions at:
