Question

Find the total of the areas under the standard normal curve to the left of z₁ and to the right of z₂. Round your answer to four decimal places, if necessary.

Z₁1.69, z₂= 1.69

Answer 1

Answer:The total of the areas under the standard normal curve to the left of z₁ and to the right of z₂ is 0.1236.

Finding the area under the normal curve:

The total area under the standard normal curve to the left of and to the right of z₂ is equal to the sum of the area to the left of z₁ and the area to the right of z₂.

Here we have

z₁ = -1.54 and z₂ = 1.54

Using a standard normal distribution table,

The area to the left of z₁ = -1.54 is 0.0618, and

The area to the right of z₂ = 1.54 is also 0.0618

(since the standard normal distribution is symmetric about 0).

Hence,

The total area under the standard normal curve to the left of z₁ and to the right of z₂ can be calculated as

=> 0.0618 + 0.0618 = 0.1236

Therefore,

The total of the areas under the standard normal curve to the left of z₁ and to the right of z₂ is 0.1236.

Explanation: