INSTRUCTOR ANSWER GUIDE
OpenStax Introductory Business Statistics 2e
Instructor Answer Guide
1
,OpenStax Introductory Business Statistics 2e
Instructor Answer Guide
CHAPTER 5: CONTINUOUS RANDOM VARIABLES
Exercise 1. Which type of distribution does the graph illustrate?
Figure 5.28
Solution Uniform Distribution
Exercise 2. Which type of distribution does the graph illustrate?
Figure 5.29
Solution Exponential Distribution
Exercise 3. Which type of distribution does the graph illustrate?
Figure 5.30
2
October 28, 2025
,OpenStax Introductory Business Statistics 2e
Instructor Answer and Solution Guide
Chapter 5: Continuous Random Variables
Solution Normal Distribution
Exercise 4. What does the shaded area represent? P(___< x < ___)
Figure 5.31
Solution P(2 < x < 5)
Exercise 5. What does the shaded area represent? P(___< x < ___)
Figure 5.32
Solution P(6 < x <7)
Exercise 6. For a continuous probability distribution, 0 ≤ x ≤ 15. What is P(x > 15)?
Solution f(x) = 0
Exercise 7. What is the area under f(x) if the function is a continuous probability density
function?
Solution one
3
October 28, 2025
, OpenStax Introductory Business Statistics 2e
Instructor Answer Guide
Exercise 8. For a continuous probability distribution, 0 x 10. What is P(x = 7)?
Solution zero
Exercise 9. A continuous probability function is restricted to the portion between x = 0 and 7.
What is P(x = 10)?
Solution zero
Exercise 10.
f(x) for a continuous probability function is , and the function is restricted to 0
≤ x ≤ 5. What is P(x < 0)?
Solution zero
Exercise 11.
f(x), a continuous probability function, is equal to , and the function is
restricted to 0 ≤ x ≤ 12. What is P(0 < x < 12)?
Solution one
Exercise 12. Find the probability that x falls in the shaded area.
Figure 5.33
Solution 0.2222
Exercise 13. Find the probability that x falls in the shaded area.
4
October 28, 2025
OpenStax Introductory Business Statistics 2e
Instructor Answer Guide
1
,OpenStax Introductory Business Statistics 2e
Instructor Answer Guide
CHAPTER 5: CONTINUOUS RANDOM VARIABLES
Exercise 1. Which type of distribution does the graph illustrate?
Figure 5.28
Solution Uniform Distribution
Exercise 2. Which type of distribution does the graph illustrate?
Figure 5.29
Solution Exponential Distribution
Exercise 3. Which type of distribution does the graph illustrate?
Figure 5.30
2
October 28, 2025
,OpenStax Introductory Business Statistics 2e
Instructor Answer and Solution Guide
Chapter 5: Continuous Random Variables
Solution Normal Distribution
Exercise 4. What does the shaded area represent? P(___< x < ___)
Figure 5.31
Solution P(2 < x < 5)
Exercise 5. What does the shaded area represent? P(___< x < ___)
Figure 5.32
Solution P(6 < x <7)
Exercise 6. For a continuous probability distribution, 0 ≤ x ≤ 15. What is P(x > 15)?
Solution f(x) = 0
Exercise 7. What is the area under f(x) if the function is a continuous probability density
function?
Solution one
3
October 28, 2025
, OpenStax Introductory Business Statistics 2e
Instructor Answer Guide
Exercise 8. For a continuous probability distribution, 0 x 10. What is P(x = 7)?
Solution zero
Exercise 9. A continuous probability function is restricted to the portion between x = 0 and 7.
What is P(x = 10)?
Solution zero
Exercise 10.
f(x) for a continuous probability function is , and the function is restricted to 0
≤ x ≤ 5. What is P(x < 0)?
Solution zero
Exercise 11.
f(x), a continuous probability function, is equal to , and the function is
restricted to 0 ≤ x ≤ 12. What is P(0 < x < 12)?
Solution one
Exercise 12. Find the probability that x falls in the shaded area.
Figure 5.33
Solution 0.2222
Exercise 13. Find the probability that x falls in the shaded area.
4
October 28, 2025
