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Likurg_2 [28]
3 years ago
15

The scores on a final exam were approximately normally distributed with a mean of 82 and a standard deviation of 11. If 85 stude

nts took the exam, and above a 60 is a passing grade, how many students failed the exam?
Mathematics
2 answers:
Savatey [412]3 years ago
6 0

In this case, we can use the z statistic to find for the proportion of students who failed the exam. The formula for z score is given as:

t = (x – u) / s

where,

x = the sample score = 60

u = sample score mean = 82

s = standard deviation = 11

Substituting all given values into the equation:

t = (60 – 82) / 11

t = - 2

 

Based from the standard proportion distribution tables for z, this corresponds to:

P = 0.0228

This means that 2.28% of the students failed the exam or equivalent to:

failed students = (0.0228) * 85 = 1.938

<span>approximately 2 students failed the exam</span>

lions [1.4K]3 years ago
3 0

Answer:

2 students failed the exam

Step-by-step explanation:


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