Find zo given the associated probability P(z> 2,) = .0505 ,9494 Zo= .9495 • 0505
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![### Finding \( z_0 \) Given the Associated Probability
Given:
\[ P(z > z_0) = 0.0505 \]
#### Task:
Find \( z_0 \).
#### Solution and Graphical Representation:
From the information given, we understand that the goal is to find the value of \( z_0 \) which corresponds to the top 5.05% in the tail of the standard normal distribution.
On a standard normal distribution curve (bell curve):
- The area under the curve to the left of \( z_0 \) represents the cumulative probability up to \( z_0 \).
- The area under the curve to the right of \( z_0 \) (the tail area) is given as 0.0505.
- Therefore, the cumulative probability to the left of \( z_0 \) is \( 1 - 0.0505 = 0.9495 \).
Using standard normal distribution tables or a calculator:
\[ z_0 = 0.9495 \]
#### Graph Explanation:
There is a bell-shaped normal distribution curve with the following demarcations:
- The peak of the curve centered at 0 (mean).
- The area under the curve to the left of \( z_0 \) is shaded to represent 0.9495.
- The remaining area (right tail) represents 0.0505.
\[ z_0 = 0.9495 \]
This is the value of \( z_0 \) for which the cumulative probability under the curve to the left is 0.9495 and the right tail probability is 0.0505.
### Summary:
- The associated value \( z_0 \) for the given probability \( P(z > z_0) = 0.0505 \) is 0.9495.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bc805eb-60ed-457b-ab8e-02c516698c74%2F3ef67cd8-221d-4104-ada4-3edc1e7b45f8%2F3no27iy_processed.jpeg&w=3840&q=75)
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