Suppose a population of scores x is normally distributed with and Use the standard normal distribution to find . Round your answer to four decimal places.
A) 0.3413
B) 0.8413
C) 0.1587
D) 0.6826
E) 0.3174

Question

Suppose a population of scores x is normally distributed with  and  Use the standard normal distribution to find  . Round your answer to four decimal places. ​
A) 0.3413 
B) 0.8413 
C) 0.1587 
D) 0.6826 
E) 0.3174

Quizplus · Accepted Answer

To find the probability of a score being between two values in a normal distribution, we first need to standardize the values using the formula z = (x - μ)/σ, where μ is the mean and σ is the standard deviation.

For the lower value, we have z = (70 - 75)/8 = -0.625. 
For the upper value, we have z = (85 - 75)/8 = 1.25.

Looking up these values in a standard normal distribution table, we find that the probability of a score being between -0.625 and 1.25 is 0.8413. Therefore, the answer is B.

Suppose a Population of Scores X Is Normally Distributed with