Question

question 3 of 20 1 point the most precise area under the standard normal distribution curve to the left of z = 1.31 is ------. select the correct response: 0.904 902 802 2 0.904 920 082 2 0.904 920 280 2 0.904 902 082 2 0.904 290 082 2 my answer is not listed among the given choices. 0.904 209 082 2 < previous continue >

Explanation:

Step1: Recall Z - table or calculator use

To find the area to the left of \( z = 1.31 \) in the standard normal distribution, we can use a standard normal distribution table (Z - table) or a calculator with a normal - distribution function. For a standard normal distribution \( N(0,1) \), the cumulative distribution function \( \Phi(z)=P(Z\leq z) \), where \( Z \) is a standard normal random variable.
Using a calculator or a more precise Z - table, we know that for \( z = 1.31 \), the cumulative probability is calculated as follows:
The standard normal distribution's cumulative probability for \( z = 1.31 \) can be found by looking up the value in a detailed Z - table or using a statistical software/calculator. The value of \( \Phi(1.31) \) is approximately \( 0.9049202802 \).

Step2: Match with the options

We compare the calculated value with the given options. The option "0.904 920 280 2" matches our calculated value.

Answer:

0.904 920 280 2