A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to t
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Answer:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734
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 concentrations of mercury in individual fish 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 using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734