### Finding Probability for the Standard Normal DistributionTo find the probability of $ p(1.28 < z < 2.28) $ for the standard normal distribution, we consult the cumulative standard normal distribution table (Table E). **Step-by-Step Guide:**1. **Locate the cumulative probability for $ z = 1.28 $:** - Navigate through the rows of the table to find the value at 1.2. - Move horizontally to the column under 0.08. The intersection gives us the cumulative probability. **Result:** $ P(Z \leq 1.28) = 0.8997 $2. **Locate the cumulative probability for $ z = 2.28 $:** - Again, find the row for 2.2. - Move horizontally to the column under 0.08. **Result:** $ P(Z \leq 2.28) = 0.9887 $3. **Calculate the desired probability:** - Subtract the cumulative probability at $ z = 1.28 $ from the cumulative probability at $ z = 2.28 $. **Calculation:** $ P(1.28 < Z < 2.28) = P(Z \leq 2.28) - P(Z \leq 1.28) $ $ P(1.28 < Z < 2.28) = 0.9887 - 0.8997 = 0.0890 $**Answer:**\[ p(1.28 < z < 2.28) = 0.0890 \]### Explanation of the Standard Normal Distribution Table:The table provided displays values for the cumulative standard normal distribution. The values indicate the probability that a standard normal variable (z) will have a value less than or equal to a given z-score. The table is structured as follows:- **Row labels (first column):** Represent the integer and first decimal place of the z-score.- **Column labels:** Represent the second decimal place of the z-score.- **Cell values:** Indicate the cumulative probability up to that z-score.For example:- **Intersection of row 1.2 and column 0.08:** Indicates the cumulative probability for $ z = 1.28 $.- **Intersection of row 2 **Quiz Question Options:**The following are the possible answers for the quiz question: - ( ) 1.0000- ( ) -1.0000- ( ) 0.0890- ( ) 0.9887Please select the correct answer by clicking on the corresponding radio button.

We have to find given probability..

Answered: p(1.28 | bartleby

Math

Statistics

p(1.28

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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