Use the table to find the area under the standard normal curve from 0 to $z=-1.51$.
The area is
(Type an integer or decimal rounded to four decimal places as needed.)
Answer
Rounding to four decimal places, the final answer is \(\boxed{0.4345}\).
Step 1 ：The area under the standard normal curve from 0 to \(z=-1.51\) is given by the cumulative distribution function (CDF) of the standard normal distribution, denoted by \(\Phi(z)\).
Step 2 ：However, the question asks for the area from 0 to \(z=-1.51\). This is equivalent to finding the area from \(z=1.51\) to 0 and subtracting it from 0.5 (since the total area to the left of z=0 is 0.5 in a standard normal distribution).
Step 3 ：So, we need to find \(\Phi(-1.51)\) which is equal to 0.5 - \(\Phi(1.51)\).
Step 4 ：A mistake was made in the calculations. The area from 0 to \(z=-1.51\) should be equal to \(\Phi(1.51)\) - 0.5, not 0.5 - \(\Phi(1.51)\).
Step 5 ：After correcting the calculation, the area under the curve from 0 to \(z=-1.51\) is found to be 0.43447828791108356.
Step 6 ：Rounding to four decimal places, the final answer is \(\boxed{0.4345}\).
