List the 5 Earth's sphere.
2 answers:
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We have the function:
A turning point happens when the function reaches a maximum or a minimum.
In that points the value of the first derivative of the function is equal to 0.
So we can find the turning points by finding the first derivative and equal to zero:
Answer:
And we can use the z score formula given by:
And using the z score we have:
And we can use the normal standard distribution table or excel in order to find the probabilities 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 time it takes her to complete one review, and for this case we know the distribution for X is given by:
Where and
And we select a sample size of n =16. Since the dsitribution for X is normal then the distribution for the sample mean is also normal and given by:
For this case we want to find this probability:
And we can use the z score formula given by:
And using the z score we have:
And we can use the normal standard distribution table or excel in order to find the probabilities and we got:
The graph illustrating the problem is on the figure attached.
