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## A class is given an exam. The distribution of the scores is normal. The mean score is 76 and the standard deviation is 11. Determine the tes

Question

A class is given an exam. The distribution of the scores is normal. The mean score is 76 and the standard deviation is 11. Determine the test score, c c , such that the probability of a student having a score greater than c c is 36 % 36% . P ( x > c )

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Mathematics
3 years
2021-09-05T16:59:42+00:00
2021-09-05T16:59:42+00:00 1 Answers
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## Answers ( )

Answer:required value of c = 79.94.Step-by-step explanation:Let x denotes the exam score.

Given: The mean score is 76 and the standard deviation is 11.

to detrmine c , such that the probability of a student having a score greater than c is 36 %.

or P(x>c)=0.36

Using z-score table , we get

z= 0.3584 [z-value corresponds to p-value of 0.36(one-tailed) is 0.3584]

Formula for z:

hence, required value of c = 79.94.