Question

Find the area to the right of a z score of 2.75 under a standard normal distribution curve.

A. 0.0030
B. 0.9970
C. 1.9200
D. 0.6000

Answer 1

The area to the right of a z score is 0.0030.

A is the correct option.

Explanation:

We have been given the z score as 2.75 and we have to find the area to the right of this z score under a standard normal distribution curve.

From the z score table, the area to the left of this z score under a standard normal distribution is given by

`P(z>2.75)=0.9970`

Therefore, in order to find the the area to the right of this z score under a standard normal distribution curve, we can subtract 1 from this the area to the right of this z score under a standard normal distribution curve.

`P(z>2.75)=1-0.9970\\=0.0030`

The area to the right of a z score is 0.0030.

Answer 2

The area tom the right of the z-score of 2.75 under a statistical normal distribution curve will be given by:
1-P(z≤2.75)
but
P(z≤2.75)=0.997
thus
1-P(z≤2.75)
=1-0.997
=0.003
Answer: 0.003