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)
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.

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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VIEWStep 2: Determine the percent of area under the normal curve represented by the shaded region.
VIEWStep 3: Determine the indicated probability for a randomly selected x-value from the distribution.
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