The grades of a statistics midterm are normally distributed with a mean of 70 and a standard deviation of 2. Without using a cal
culator, what is the probability that a student will receive a grade between 74 and 76? 4.30% 2.15% 34.12% 13.6%
1 answer:
Answer:
.13.5%
Step-by-step explanation:
The probability that a student will receive a grade between 74 and 76 is calculated as follows:
µ+2σ=70+2(2)=70+4=74
µ+3σ=70+3(2)=70+6=76
From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.
Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.
Thus, the correct options is A.13.5%.
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