Determine the probabilities for the following normal distribution problems. Appendix A Statistical Tables (Round the values of z to 2 decimal places, e.g. 1.75. Round your answers to 4 decimal places, e.g. 1.7585.) (a) µ = 602, 0 = 57.1, xs 635: (b) μ = 44,σ= 11,x< 22: (c) µ = 149, 0= 34.7, 132 27: (f) μ - 146, σ= 10.6,x> 177:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

q6

 

only D, E, F please

**Determine the probabilities for the following normal distribution problems.**

*(Round the values of z to 2 decimal places, e.g., 1.75. Round your answers to 4 decimal places, e.g., 1.7585.)*

1. **(a)** \( \mu = 602, \sigma = 57.1, x \leq 635: \)  
   [Input Box]

2. **(b)** \( \mu = 44, \sigma = 11, x < 22: \)  
   [Input Box]

3. **(c)** \( \mu = 149, \sigma = 34.7, 132 \leq x < 172: \)  
   [Input Box]

4. **(d)** \( \mu = 261, \sigma = 9.4, 249 < x < 255: \)  
   [Input Box]

5. **(e)** \( \mu = 37, \sigma = 4.04, x \geq 27: \)  
   [Input Box]

6. **(f)** \( \mu = 146, \sigma = 10.6, x \geq 177: \)  
   [Input Box]

For each problem, calculate the probability using the given mean (\( \mu \)) and standard deviation (\( \sigma \)). You will need the z-score table found in Appendix A: Statistical Tables.
Transcribed Image Text:**Determine the probabilities for the following normal distribution problems.** *(Round the values of z to 2 decimal places, e.g., 1.75. Round your answers to 4 decimal places, e.g., 1.7585.)* 1. **(a)** \( \mu = 602, \sigma = 57.1, x \leq 635: \) [Input Box] 2. **(b)** \( \mu = 44, \sigma = 11, x < 22: \) [Input Box] 3. **(c)** \( \mu = 149, \sigma = 34.7, 132 \leq x < 172: \) [Input Box] 4. **(d)** \( \mu = 261, \sigma = 9.4, 249 < x < 255: \) [Input Box] 5. **(e)** \( \mu = 37, \sigma = 4.04, x \geq 27: \) [Input Box] 6. **(f)** \( \mu = 146, \sigma = 10.6, x \geq 177: \) [Input Box] For each problem, calculate the probability using the given mean (\( \mu \)) and standard deviation (\( \sigma \)). You will need the z-score table found in Appendix A: Statistical Tables.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman