In the figure below the y-axis points north, the x-axis points east, and the xy-plane corresponds to the surface of the water. S
1 answer:
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Answer:
And we can find this probability using the normal standard table or excel:
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 amount of ml 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 normal standard table or excel:
Answer:
a =
Step-by-step explanation:
(now you can multiply the whole equation by 6 to remove the fractions
4a - 1 = 2
4a = 2+1
4a = 3
a =