Question

Find the probability using the normal distribution: P(z>2.73). Use O The Standacd Normal Distribution Tabie and enter the answer to 4 decimal places. P(z>2.73)=

Answer 1

To calculate P(z>2.73), subtract the area to the left of z=2.73 from 1 using a z-table or the invNorm() function on a graphing calculator.

Step-by-step explanation:

To find the probability P(z>2.73) using the standard normal distribution, you look up the value corresponding to z = 2.73 in a z-table. Most z-tables give you the area to the left of the z value. However, we want the area to the right (which represents our probability).

For example, if the z-table shows that the area to the left of z = 2.73 is 0.9967, you would subtract this from 1 (since the total area under the curve equals 1) to get the area to the right. Therefore, P(z>2.73) = 1 - 0.9967 = 0.0033.

To perform this calculation without a table, you can use statistical software or a graphing calculator with the command like invNorm(). For TI calculators, you could use invNorm(0.0033, 0, 1) to find the z-score directly, but remember to input the area to the left instead.