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: