Questions: Find the area under the standard normal curve to the right of z=1.31. Round your answer to four decimal places, if necessary.

Solution Steps

We need to find the area under the standard normal curve to the right of \( z = 1.31 \). This can be expressed mathematically as:

\[ P(Z > 1.31) = 1 - P(Z \leq 1.31) = 1 - \Phi(1.31) \]

where \( \Phi(z) \) is the cumulative distribution function (CDF) of the standard normal distribution.

Using the properties of the standard normal distribution, we can express the probability as:

\[ P(Z > 1.31) = \Phi(\infty) - \Phi(1.31) \]

Since \( \Phi(\infty) = 1 \), we have:

\[ P(Z > 1.31) = 1 - \Phi(1.31) \]

From the calculations, we find that:

\[ P(Z > 1.31) = 0.0951 \]

This indicates that the area under the standard normal curve to the right of \( z = 1.31 \) is \( 0.0951 \).

Final Answer