Probability of a zebra living longer than 32.2 years
1 answer:
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Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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 scores 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 on this way:
We expect around 68.27% between the two scores provided.
Answer:
350.82
Step-by-step explanation:
To find the surface area, you must add up all of the areas of each shape of the prism in order to get the sum surface area.
The rectangle's area ():
The triangle's area ():
Now add up all the sides. (3 Rectangles, 2 Triangles.)
The total surface area is 350.82 cm squared.