Question

the most precise area under the standard normal distribution curve between z = 0 and z = 1.77 is ------.
select the correct response:
0.461 663 429 64
0.461 636 429 64
my answer is not listed among the given choices.
0.461 363 294 64
0.461 636 924 64
0.461 636 429 46
0.461 663 924 46
0.461 663 942 64

Explanation:

Step1: Use z-table for z=1.77

Look up $z=1.77$ in the standard normal table, which gives the area between $z=0$ and $z=1.77$.

Step2: Match with options

The precise value from standard normal distribution calculations for $z=1.77$ is approximately 0.46163642964, which matches the second option.

Answer:

0.461 636 429 64