The grades of a statistics midterm are normally distributed with a mean of 70 and a standard deviation of 2. Without using a calculator, what is the probability that a student will receive a grade between 74 and 76? 4.30% 2.15% 34.12% 13.6%

.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%.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^