Question

Find the proportion of observations in a standard Normal distribution that satisfies the following statement.

z<2. 33


0. 010

0. 101

0. 880

0. 950

0. 990

Answer 1

The proportion of observations in a standard Normal distribution that satisfies the statement z < 2.33 is 0.990.

This can be found using a Normal distribution table or a calculator. The area to the left of z = 2.33 is 0.9901, which means that approximately 99.01% of the observations in a standard Normal distribution are less than 2.33 standard deviations above the mean. Rounding this to three decimal places gives 0.990.