Question

Find the percentage of area under a normal curve between the mean and the given number of standard deviations from the mean.1.68

Answer 1

0.4532

Explanation:

Given the question :

Find the percentage of area under a normal curve between the mean and the given number of standard deviations from the mean.1.68

Number of standard deviations from the mean = 1.68

I. 68 standard deviations below the mean :

Mean = 0(normal distribution)

P(Z < 0) = 0.5

1.68 standard deviations above the mean = + 1.68

P(Z < 1.68) = 0.95352

P(0 < x < Z) = (0.95352 - 0.5) = 0.4532