The final example of this section explains the origin of the proportions given in the Empirical Rule. We can see from the first line of the table that the area to the left of \(-5.22\) must be so close to \(0\) that to four decimal places it rounds to \(0.0000\). Similarly, here we can read directly from the table that the area under the density curve and to the left of \(2.15\) is \(0.9842\), but \(-5.22\) is too far to the left on the number line to be in the table.We can see from the last row of numbers in the table that the area to the left of \(4.16\) must be so close to 1 that to four decimal places it rounds to \(1.0000\). Use the Cumulative Normal Distribution Table and enter the answer to 4 decimal places. The Standard Normal Distribution Table and. Find the probability using the normal distribution: P(:<-3.06). Use The Standard Normal Distribution Table and enter the answer to 2 decimal places. Find the probability using the normal distribution: P(0 ![]() ![]() ![]() We obtain the value \(0.8708\) for the area of the region under the density curve to left of \(1.13\) without any problem, but when we go to look up the number \(4.16\) in the table, it is not there. Find the area under the standard normal distribution curve to the right of z1.93. \) by looking up the numbers \(1.13\) and \(4.16\) in the table.
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