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Find z such that 82% of the standard normal curve lies to the right of z.

Find z such that 82% of the standard normal curve lies to the right of z.

MATLAB: An Introduction with Applications
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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Please answer number 21. Make sure to show work!! Thanks!
### Basic Computation: Find Probabilities In Problems 5–14, assume that \( x \) has a normal distribution with the specified mean and standard deviation. Find the indicated probabilities. 5. \(P(3 \le x \le 6); \mu = 4; \sigma = 2\) 6. \(P(10 \le x \le 26); \mu = 15; \sigma = 4\) 7. \(P(50 \le x \le 70); \mu = 40; \sigma = 15\) 8. \(P(7 \le x \le 9); \mu = 5; \sigma = 1.2\) 9. \(P(8 \le x \le 12); \mu = 15; \sigma = 3.2\) 10. \(P(40 \le x \le 47); \mu = 50; \sigma = 15\) 11. \(P(x \ge 30); \mu = 20; \sigma = 3.4\) 12. \(P(x \ge 120); \mu = 100; \sigma = 15\) 13. \(P(x \ge 90); \mu = 100; \sigma = 15\) 14. \(P(x \ge 2); \mu = 3; \sigma = 0.25\) ### Basic Computation: Find \( z \) Values In Problems 15–24, find the \( z \) value described and sketch the area described. 15. Find \( z \) such that 6% of the standard normal curve lies to the left of \( z \). 16. Find \( z \) such that 5.2% of the standard normal curve lies to the left of \( z \). 17. Find \( z \) such that 55% of the standard normal curve lies to the left of \( z \). 18. Find \( z \) such that 97.5% of the standard normal curve lies to the left of \( z \). 19. Find \( z \) such that 8% of the standard normal curve lies to the right of \( z \). 20. Find \( z \) such that 5% of the standard normal curve lies to the right of \( z \). 21. Find \( z \
Transcribed Image Text:### Basic Computation: Find Probabilities In Problems 5–14, assume that \( x \) has a normal distribution with the specified mean and standard deviation. Find the indicated probabilities. 5. \(P(3 \le x \le 6); \mu = 4; \sigma = 2\) 6. \(P(10 \le x \le 26); \mu = 15; \sigma = 4\) 7. \(P(50 \le x \le 70); \mu = 40; \sigma = 15\) 8. \(P(7 \le x \le 9); \mu = 5; \sigma = 1.2\) 9. \(P(8 \le x \le 12); \mu = 15; \sigma = 3.2\) 10. \(P(40 \le x \le 47); \mu = 50; \sigma = 15\) 11. \(P(x \ge 30); \mu = 20; \sigma = 3.4\) 12. \(P(x \ge 120); \mu = 100; \sigma = 15\) 13. \(P(x \ge 90); \mu = 100; \sigma = 15\) 14. \(P(x \ge 2); \mu = 3; \sigma = 0.25\) ### Basic Computation: Find \( z \) Values In Problems 15–24, find the \( z \) value described and sketch the area described. 15. Find \( z \) such that 6% of the standard normal curve lies to the left of \( z \). 16. Find \( z \) such that 5.2% of the standard normal curve lies to the left of \( z \). 17. Find \( z \) such that 55% of the standard normal curve lies to the left of \( z \). 18. Find \( z \) such that 97.5% of the standard normal curve lies to the left of \( z \). 19. Find \( z \) such that 8% of the standard normal curve lies to the right of \( z \). 20. Find \( z \) such that 5% of the standard normal curve lies to the right of \( z \). 21. Find \( z \
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