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In Exercises 1-4, give the percent of the area under the normal curve represented by the shaded region(s). 1. 2. 3. 4. 20 13. at least 25 μ-0 15. at most 37 D-1 02 +11 In Exercises 5-10, a normal distribution has mean μ and standard deviation o. Find the indicated probability for a randomly selected x-value from the distribution. Example 1 5. P(x ≤ μ-o) 6. P(x 2μ - 6) 7. P(x 2 µ+20) 8. P(x ≤ μ+σ) 9. Ρ(μ - 6Ωx<μ + σ)10. P(μ - 36 < x <μ) In Exercises 11-16, a normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. 11. between 29 and 37 P+ 02 + 11 12. between 33 and 45 14. at least 29 16. at most 21

In Exercises 1-4, give the percent of the area under the normal curve represented by the shaded region(s). 1. 2. 3. 4. 20 13. at least 25 μ-0 15. at most 37 D-1 02 +11 In Exercises 5-10, a normal distribution has mean μ and standard deviation o. Find the indicated probability for a randomly selected x-value from the distribution. Example 1 5. P(x ≤ μ-o) 6. P(x 2μ - 6) 7. P(x 2 µ+20) 8. P(x ≤ μ+σ) 9. Ρ(μ - 6Ωx<μ + σ)10. P(μ - 36 < x <μ) In Exercises 11-16, a normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. 11. between 29 and 37 P+ 02 + 11 12. between 33 and 45 14. at least 29 16. at most 21

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The attached image is a past homework assignment that has already been graded. I am still struggling to understand how to solve the following questions in this handout: questions 1-8 and 11-16. I would appreciate it, if you can provide an explanation to how to solve these problems.

Please let me know if you have additional questions. Thank you. 

9.1 In Exercises 1-4, give the percent of the area under the normal curve represented by the shaded region(s). 1. 2. 3. 4. Practice WITH CalcChatⓇ AND CalcView® 30 20 13. at least 25 DIN 15. at most 37 0 + 11 In Exercises 5-10, a normal distribution has mean u and standard deviation o. Find the indicated probability for a randomly selected x-value from the distribution. Example 1 5. P(x ≤ μ- σ) 6. P(x Σμ -6) 7. P(x2 + 20) 8. P(x ≤ μ+ σ) 9. Ρ(μ-σΩx < μ + σ)10. Ρ(μ - 36 < x ≤ μ) In Exercises 11-16, a normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. 11. between 29 and 37 470 Chapter 9 μ+ 20⁰ 02 +11 12. between 33 and 45 14. at least 29 16. at most 21 Data Analysis and Statistics Q 回回 17. MODELING REAL LIFE The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes. ► Example 2 ING! a. About what percent of Internet use spend between 78 minutes and 174 minutes on social networking platforms each day? GO DIGITAL b. About what percent of Internet users spend more than 238 minutes on social networking platforms each day? 18. MODELING REAL LIFE The times a fire department take to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a standard deviation of 1 minute. a. For about what percent of emergencies does the fire department arrive at the scene in 8 minutes or less? X You Tube 22 b. The goal of the fire department is to reach the scene of an emergency in 5 minutes or less. About what percent of the time does the fire department achieve its goal? I c. The fire department implements personnel changes that increase the standard deviation of the arrival times to 1.5 minutes. Discuss the advantages and disadvantages of these changes. OV ERROR ANALYSIS In Exercises 19 and 20, a normal distribution has a mean of 25 and a standard deviation of 2. Describe and correct the error in finding the probability that a randomly selected x-value is in the given interval. 19. between 23 and 27 23 24 25 26 27 28 The probability that x is between 23 and 27 is 0.95.
Transcribed Image Text:9.1 In Exercises 1-4, give the percent of the area under the normal curve represented by the shaded region(s). 1. 2. 3. 4. Practice WITH CalcChatⓇ AND CalcView® 30 20 13. at least 25 DIN 15. at most 37 0 + 11 In Exercises 5-10, a normal distribution has mean u and standard deviation o. Find the indicated probability for a randomly selected x-value from the distribution. Example 1 5. P(x ≤ μ- σ) 6. P(x Σμ -6) 7. P(x2 + 20) 8. P(x ≤ μ+ σ) 9. Ρ(μ-σΩx < μ + σ)10. Ρ(μ - 36 < x ≤ μ) In Exercises 11-16, a normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. 11. between 29 and 37 470 Chapter 9 μ+ 20⁰ 02 +11 12. between 33 and 45 14. at least 29 16. at most 21 Data Analysis and Statistics Q 回回 17. MODELING REAL LIFE The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes. ► Example 2 ING! a. About what percent of Internet use spend between 78 minutes and 174 minutes on social networking platforms each day? GO DIGITAL b. About what percent of Internet users spend more than 238 minutes on social networking platforms each day? 18. MODELING REAL LIFE The times a fire department take to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a standard deviation of 1 minute. a. For about what percent of emergencies does the fire department arrive at the scene in 8 minutes or less? X You Tube 22 b. The goal of the fire department is to reach the scene of an emergency in 5 minutes or less. About what percent of the time does the fire department achieve its goal? I c. The fire department implements personnel changes that increase the standard deviation of the arrival times to 1.5 minutes. Discuss the advantages and disadvantages of these changes. OV ERROR ANALYSIS In Exercises 19 and 20, a normal distribution has a mean of 25 and a standard deviation of 2. Describe and correct the error in finding the probability that a randomly selected x-value is in the given interval. 19. between 23 and 27 23 24 25 26 27 28 The probability that x is between 23 and 27 is 0.95.
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