Problem

Use the table to find the area under the standard normal curve and above the interval $[-0.77, \infty)$ on the horizontal axis.

The area is
(Type an integer or decimal rounded to four decimal places as needed.)

Answer

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Answer

Rounding to four decimal places, the final answer is \(\boxed{0.7794}\).

Steps

Step 1 :The area under the standard normal curve represents the probability of an event occurring. The total area under the curve is 1. The area above the interval $[-0.77, \infty)$ is equivalent to the area from $[-\infty, 0.77]$. We can find this area by looking up the z-score of 0.77 in a standard normal distribution table.

Step 2 :The area under the standard normal curve and above the interval $[-0.77, \infty)$ on the horizontal axis is calculated to be approximately 0.7793500536573503.

Step 3 :Rounding to four decimal places, the final answer is \(\boxed{0.7794}\).

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