Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the area of the shaded region under the standard normal curve. \\z…

Question

find the area of the shaded region under the standard normal curve.

\\z = 0\\
\\z = 1.96\\

  • 0.205
  • 0.025

Explanation:

Identify the target area

Using the Standard Normal Distribution knowledge point

$$ P(Z > 1.96) $$

Find the cumulative probability

Using the Standard Normal Table knowledge point

$$ P(Z \le 1.96) = 0.9750 $$

Calculate the shaded upper tail area

Using the Standard Normal Distribution knowledge point

$$ P(Z > 1.96) = 1 - P(Z \le 1.96) = 1 - 0.9750 = 0.025 $$

Answer:

  • 0.205
  • 0.025 (Correct answer)