The area under the standard normal curve to the right of z=2.575 is approximately 0.0049 (rounded to four decimal places).
To find the area under the standard normal curve to the right of
z=2.575, you can use a standard normal distribution table or a calculator.
The standard normal distribution table gives the area to the left of a given z-value. Since you want the area to the right of z=2.575, you need to subtract the area to the left of z=2.575 from 1.
Using a standard normal distribution table or calculator:
P(Z>2.575)=1−P(Z<2.575)
Look up the z-value of 2.575 in the table or use a calculator to find
P(Z<2.575). Subtract this value from 1 to find
P(Z>2.575).
If using a calculator, you may use functions like norm.cdf or similar, depending on the programming language or software you're using.
Let me calculate this for you:
P(Z>2.575)=1−P(Z<2.575)
Using a standard normal distribution table or calculator,
P(Z<2.575)≈0.9951.
Therefore, P(Z>2.575)≈1−0.9951≈0.0049
So, the area under the standard normal curve to the right of
z=2.575 is approximately 0.0049 (rounded to four decimal places).
Question
Find the area under the standard normal curve to the right z= 2.575
round your answer to four decimal places if necessary