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1. The area of the rectangle is 51 inches squared. Write an equation then solve for x.
1. The area of the rectangle is 51 inches squared. Write an equation then solve for x.
1 answer:
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Answer:
Where and
Then we have:
With the following parameters:
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 number of cars running a red light of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
With the following parameters: