Solved on Nov 18, 2023
Find the value of such that 0.04 of the area lies to the right of . Round your answer to two decimal places.
STEP 1
Assumptions1. We are working with a standard normal distribution (mean =0, standard deviation =1) . We are looking for a z-score such that0.04 of the area lies to the right of it
STEP 2
First, we need to find the area to the left of the z-score. Since the total area under the curve is1, the area to the left of the z-score is1 -0.04.
STEP 3
Calculate the area to the left of the z-score.
STEP 4
Now, we use the standard normal distribution table (also known as the z-table) to find the z-score that corresponds to an area of0.96 to the left of the z-score.
The z-table gives us the z-score for a given cumulative probability (area to the left). So we look for the closest value to0.96 in the table.
STEP 5
By looking up the closest value to0.96 in the z-table, we find that the corresponding z-score is approximately1.75.
So, the value of such that0.04 of the area lies to the right of is approximately1.75.
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