Find the area under the standard normal curve between z = 1 and z = 2?

Solution:

The normal distribution is defined by the probability density function f(x) for the continuous random variable X considered in the system.

It is a function whose integral across an interval (say x to x + dx) gives the probability of the random variable X, by considering the values between x and x + dx.

A Z-score chart, often called a Z-Table, is used to find the area under a normal curve, or bell curve, for a binomial distribution.

The Z score itself is a statistical measurement of the number of standard deviations from the mean of a normal distribution.

Using the z-chart table

When z = 1,

we see that z = 0.8413

When z = 2,

we see that z = 0.9772

By subtracting both we can find the area under the standard normal distribution curve

Area = 0.9772 - 0.8413

= 0.1359

Therefore, the area under the standard normal curve is 0.1359

Find the area under the standard normal curve between z = 1 and z = 2?

Summary:

The area under the standard normal curve between z = 1 and z = 2 is 0.1359