Use a standard normal table of the cumulative distribution function to find the value of Z when F(Z)equals0.90. can you show me the steps please
To find the Z value when F(Z) = 0.90, we need to use a standard normal table of the cumulative distribution function.
1. Look up the value 0.9 in the standard normal table. This value corresponds to the area under the curve to the left of the Z value.
2. Find the closest value to 0.9 in the table. In this case, the closest value below 0.9 is 0.8997, and the corresponding Z value is 1.28.
3. This means that when F(Z) = 0.90, the Z value is approximately 1.28.