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Ludmilka [50]
3 years ago
5

The scores on a psychology exam were normally distributed with a mean of 57

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

Cutoff for a failing score is 49 and 2.28% students failed.

Step-by-step explanation:

We have been given that scores on a psychology exam were normally distributed with a mean of 57  and a standard deviation of 4.

2 standard deviation below mean would be,

57-2(4) =57-8= 49

Therefore,Cutoff far a failing score is 49.

Now let us find out the z-score for our given values,

z=\frac{x-\mu}{\sigma}

z=\frac{49-57}{4}=\frac{-8}{4} =-2

Now let us look up the probability from normal distribution table.

P(z

Therefore, percentage of students failed is 2.28%.



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