Question

Find the area of the shaded region under the standard normal distribution to the right of the given z-score. Round your answer to three decimal places. 2 3 - 1 0 2 =-0.52 Q P(z > - 0.55)

Answer 1

To find the area of the shaded region under the standard normal distribution to the right of a given z-score, you can use the z-table. In this case, we need to find P(z > -0.55).

Step-by-step explanation:

To find the area of the shaded region under the standard normal distribution to the right of a given z-score, you can use the area under the normal curve table, also known as the z-table. In this case, we need to find P(z > -0.55).

Step 1: Look up the area to the left of -0.55 in the z-table. The z-table shows that the area to the left of -0.55 is 0.2912.

Step 2: Subtract the area to the left of -0.55 from 1 to find the area to the right of -0.55. 1 - 0.2912 = 0.7088.

The area of the shaded region under the standard normal distribution to the right of -0.55 is approximately 0.7088.

Answer 2

The area of the shaded region under the standard normal distribution to the right of the given z-score is 0.709.

Finding the area of a shaded region under the standard normal distribution.

In this question, we are to find the area to the right of P(z > -0.55) using the standard normal distribution of the Z-table.

To find the area to the right using the Z-table under standard normal distribution, we check the area left to -0.55 from the table. From the table, the area left to -0.55 = 0.2912

To find the area to the right, i.e P(z> - 0.55), we have:

P(z > -0.55) = 1 - P (z < -0.55)

P(z > -0.55) = 1 - 0.2912

P(z > -0.55) = 0.7088

P(z > -0.55) = 0.709 ( to 3 decimal places)