8.
1 answer:
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Answer:
i.e. The inverse function
i.e. The French size of a dress if it is U.S. size 10 is 42.
Step-by-step explanation:
Given
Solving (a): The inverse function
Replace d(x) with y
Swap y and x
Make y the subject
Replace y with d'(x)
Hence, the inverse function is:
Solving (b): US size of 10
Substitute
Answer:
And we can find this probability with the complement rule and we got:
And using the normal standard table or excel 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 prices 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 with the complement rule and we got:
And using the normal standard table or excel we got:
And we can find this probability on this way: