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Answer:
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".
Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:
Where and
We know that the value for Renee is X=175 and the z score obteined was Z=2.
Solution to the problem
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We are interested on the value of and we can solv for it:
And replacing the values we have:
Answer:
Today's temperature is 5.7 degrees above Bill's normal temperature.
Step-by-step explanation:
Given
Represent the normal temperature with N and today's temperature with T.
Such that:
Required
Determine the temperature above the normal temperature
The interpretation of this is to calculate the difference between Bill's normal temperature and Bill's today temperature.
Represent the difference with D
D is calculated as follows:
Substitute values for T and N
Hence, today's temperature is 5.7 degrees above Bill's normal temperature.