Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as
1 answer:
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Answer:
a)
b)
c)
And we can find this probability using the complement rule and the normal standard distribution or excel 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".
Part a
Let X the random variable that represent the amount of money of a population of interet, and we know the following info:
Where and
We can assume that the sample size is large and the estimators can be used as a good description for the parameters
The z score for 40000 would be:
Part b
The z score for 50000 would be:
Part c
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 the complement rule and the normal standard distribution or excel and we got: