Suppose we want to generate a sample of X using the following probability mass function: X P(X) 1 1/3 3 1/3 5 1/3 Which of the following Excel formulae can be used to achieve this? (a) = 1 + 2*RANDBETWEEN(0,2) (b) = 2*RANDBETWEEN(1,3) - 1 (c) = RANDBETWEEN(1,5) - RANDBETWEEN(2,4) +3 O Only (a) and (b) O Only (a) and (c) O Only (b) and (c) O Only (b) O Only (a) O None of the above O (a), (b) and (c) Only (c)
Suppose we want to generate a sample of X using the following probability mass function: X P(X) 1 1/3 3 1/3 5 1/3 Which of the following Excel formulae can be used to achieve this? (a) = 1 + 2*RANDBETWEEN(0,2) (b) = 2*RANDBETWEEN(1,3) - 1 (c) = RANDBETWEEN(1,5) - RANDBETWEEN(2,4) +3 O Only (a) and (b) O Only (a) and (c) O Only (b) and (c) O Only (b) O Only (a) O None of the above O (a), (b) and (c) Only (c)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve the following question
Transcribed Image Text:**Generating a Sample of X Using a Probability Mass Function**
Consider we want to generate a sample of `X` using the following probability mass function:
| X | P(X) |
|---|------|
| 1 | 1/3 |
| 3 | 1/3 |
| 5 | 1/3 |
**Question:**
Which of the following Excel formulae can be used to achieve this?
1. (a) = 1 + 2*RANDBETWEEN(0,2)
2. (b) = 2*RANDBETWEEN(1,3) - 1
3. (c) = RANDBETWEEN(1,5) - RANDBETWEEN(2,4) + 3
**Answer Options:**
- Only (a) and (b)
- Only (a) and (c)
- Only (b) and (c)
- Only (b)
- Only (a)
- None of the above
- (a), (b) and (c)
- Only (c)
Choose the correct option based on the provided formulae.
**Explanation:**
- **Formula (a):** `= 1 + 2*RANDBETWEEN(0,2)`
- `RANDBETWEEN(0,2)` generates a random integer between 0 and 2.
- Multiplying by 2 gives us numbers {0, 2, 4}.
- Adding 1 gives us {1, 3, 5}.
- **Formula (b):** `= 2*RANDBETWEEN(1,3) - 1`
- `RANDBETWEEN(1,3)` generates a random integer between 1 and 3.
- Multiplying by 2 gives us {2, 4, 6}.
- Subtracting 1 gives us {1, 3, 5}.
- **Formula (c):** `= RANDBETWEEN(1,5) - RANDBETWEEN(2,4) + 3`
- This formula needs to be evaluated to check if it generates only the values {1, 3, 5}.
Evaluate the options and determine which set of formulae correctly reproduces the values {1, 3, 5
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman