**Statistics and Probability: Working with Normal Distributions**---**Question 25** A distribution of values is normal with a mean of 8.9 and a standard deviation of 66.1.Find the probability that a randomly selected value is greater than -196.\[ P(X > -196) = \boxed{\phantom{number}} \]Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.---**Instructions for Answering:**1. Calculate the z-score for the value of -196 using the formula:\[ z = \frac{X - \mu}{\sigma} \] where: - \( X \) is the value (-196 in this case) - \( \mu \) is the mean (8.9 in this case) - \( \sigma \) is the standard deviation (66.1 in this case)2. Use the z-score to find the probability from the standard normal distribution table or using a calculator with statistical functions.3. Enter your answer as a decimal rounded to 4 decimal places.---**Submit Your Answer:**Click the "Submit Question" button to record your answer once you have calculated the probability.---**Example Text Explanation:**1. Calculate the z-score:\[ z = \frac{-196 - 8.9}{66.1} \approx -3.1097 \]2. Find the probability corresponding to the z-score \(-3.1097\): From the standard normal distribution table, the probability (P) corresponding to \( z \approx -3.11 \) is approximately \( 0.0009 \).3. Since we want the probability \( P(X > -196) \):\[ P(X > -196) = 1 - P(X \leq -196) = 1 - 0.0009 = 0.9991 \]4. Finally, enter \( 0.9991 \) as your answer in the provided field.---**Reminder:**Ensure your answers are precise and rounded as required. This exercise helps in understanding the application of the normal distribution and z-scores in determining probabilities.

We have to find out given probabiity..

Questiol C7 A distribution of values is normal with a mean of 8.9 and a standard deviation of 66.1. Find the probability that a randomly selected value is greater than -196. P(X > -196) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or scores rounded to 3 decimal places are accepted. Submit Question

Questiol C7 A distribution of values is normal with a mean of 8.9 and a standard deviation of 66.1. Find the probability that a randomly selected value is greater than -196. P(X > -196) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or scores rounded to 3 decimal places are accepted. Submit Question

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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