Using the empirical rule determine the approximate percentag

Using the empirical rule, determine the approximate percentage of a normal distribution that is expected to fall within the interval described. Less than the mean Greater than 1 standard deviation above the mean Less than 1 standard deviation above the mean Between 1 standard deviation below the mean and 2 standard deviations above the mean

Solution

a) less than the mean = 0.50

b) Greater than 1 std dev above the mean = 0.5-0.3413

   = 0.1587

c) <1 std dev above the mean = 0.3413

d) 0.3413+0.4772 = 0.8185