Find the value of $z$ such that 0.04 of the area lies to the left of $z$. Round your answer to two decimal places. Answer Keyboard Shortcuts If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. Note: Selecting a cell will return the value associated with the column and row headers for that cell.

Step 1 ：This is a problem of finding the z-score in a standard normal distribution. The z-score is the number of standard deviations a particular score is from the mean. In this case, we are given that 0.04 of the area (or probability) lies to the left of z. This means that z is the 4th percentile of the standard normal distribution.

Step 2 ：We can use the percent point function, which is the inverse of the cumulative distribution function. It returns the z-score for a given percentile.

Step 3 ：Let's denote the percentile as p. So, p = 0.04.

Step 4 ：By using the percent point function, we find that z = -1.75.

Step 5 ：Final Answer: The value of \(z\) such that 0.04 of the area lies to the left of \(z\) is \(\boxed{-1.75}\).