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Ede4ka [16]
3 years ago
10

Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. In a group of 230 tests, how many s

tudents score above 96?
Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
We are given with a mean of 76 and a standard deviation of 10. IN this case, we are asked to determine the probability that the score is beyond 96. 

z score = (96-76)/ 10 = 2

With the z-score of 2, the probability that is equivalent is 0.0235 or 2.35 percent. 
Tanzania [10]3 years ago
5 0
The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
230\times 0.0235=5\ students
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Answer:

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Step-by-step explanation:

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The probability based on mathematical theories is called theoretical probability. It is not always true. i.e. the probability of getting a head in a toss of coin is 1/2 or 0.5 or 50%

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The theoretical probability of getting a head while tossing a coin will always be 50% while experimental probability might be different the next time, experiment is performed.

In this case, the experimental probability will be 23/40 or 0.575 ..

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