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Basic Computation: Find Probabilities In Problems 5-14, assume that x has a normal distribution with the specified mean and standard deviation. Find the indi- cated probabilities. 5. P(3≤x≤ 6); μ = 4;o = 2 7. P(50≤x≤70); μ = 40; o = 15 9. P(8≤x≤ 12); μ = 15; o = 3.2 11. P(x ≥ 30); μ = 20; σ = 3.4 13. P(x ≥ 90); μ = 100; σ = 15 6. P(10≤x≤26); μ = 15; o = 4 8. P(7≤x≤9); μ = 5; o = 1.2 P(40≤x≤ 47); μ = 50; o = 15 P(x ≥ 120); μ = 100; o = 15 10. 12. 14. P(x ≥ 2); μ = 3; σ = 0.25

Basic Computation: Find Probabilities In Problems 5-14, assume that x has a normal distribution with the specified mean and standard deviation. Find the indi- cated probabilities. 5. P(3≤x≤ 6); μ = 4;o = 2 7. P(50≤x≤70); μ = 40; o = 15 9. P(8≤x≤ 12); μ = 15; o = 3.2 11. P(x ≥ 30); μ = 20; σ = 3.4 13. P(x ≥ 90); μ = 100; σ = 15 6. P(10≤x≤26); μ = 15; o = 4 8. P(7≤x≤9); μ = 5; o = 1.2 P(40≤x≤ 47); μ = 50; o = 15 P(x ≥ 120); μ = 100; o = 15 10. 12. 14. P(x ≥ 2); μ = 3; σ = 0.25

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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### 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. \( P(3 \leq x \leq 6); \mu = 4; \sigma = 2 \) 6. \( P(10 \leq x \leq 26); \mu = 15; \sigma = 4 \) 7. \( P(50 \leq x \leq 70); \mu = 40; \sigma = 15 \) 8. \( P(7 \leq x \leq 9); \mu = 5; \sigma = 1.2 \) 9. \( P(8 \leq x \leq 12); \mu = 15; \sigma = 3.2 \) 10. \( P(40 \leq x \leq 47); \mu = 50; \sigma = 15 \) 11. \( P(x \geq 30); \mu = 20; \sigma = 3.4 \) 12. \( P(x \geq 120); \mu = 100; \sigma = 15 \) 13. \( P(x \geq 90); \mu = 100; \sigma = 15 \) 14. \( P(x \geq 2); \mu = 3; \sigma = 0.25 \) ### 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
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. \( P(3 \leq x \leq 6); \mu = 4; \sigma = 2 \) 6. \( P(10 \leq x \leq 26); \mu = 15; \sigma = 4 \) 7. \( P(50 \leq x \leq 70); \mu = 40; \sigma = 15 \) 8. \( P(7 \leq x \leq 9); \mu = 5; \sigma = 1.2 \) 9. \( P(8 \leq x \leq 12); \mu = 15; \sigma = 3.2 \) 10. \( P(40 \leq x \leq 47); \mu = 50; \sigma = 15 \) 11. \( P(x \geq 30); \mu = 20; \sigma = 3.4 \) 12. \( P(x \geq 120); \mu = 100; \sigma = 15 \) 13. \( P(x \geq 90); \mu = 100; \sigma = 15 \) 14. \( P(x \geq 2); \mu = 3; \sigma = 0.25 \) ### 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
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