requency of Occurrence Luanbaa P(Y - y) P(x -x) of Occurrence 15.8 15.7 15.9 15.8 16.0 15.9 16.1 160 16.2 16.1 162 163 2

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 image displays a table comparing two brands, A and B, with their respective data on the relative frequencies of occurrence for different measurements, as well as several formulas to calculate statistical measures. The information is structured for an educational exercise labeled "In-class Work 7."

### Table Information:
#### Brand A:
- **x** Values and **Relative Frequency of Occurrence (P(X = x))**:
  - 15.8: Frequency 1, Probability 0.1
  - 15.9: Frequency 2, Probability 0.2
  - 16.0: Frequency 4, Probability 0.4
  - 16.1: Frequency 2, Probability 0.2
  - 16.2: Frequency 1, Probability 0.1

#### Brand B:
- **y** Values and **Relative Frequency of Occurrence (P(Y = y))**:
  - 15.7: Frequency 2, Probability 0.2
  - 15.8: Frequency 1, Probability 0.1
  - 15.9: Frequency 1, Probability 0.1
  - 16.0: Frequency 1, Probability 0.1
  - 16.1: Frequency 1, Probability 0.1
  - 16.2: Frequency 2, Probability 0.2
  - 16.3: Frequency 2, Probability 0.2

### Statistical Measures to Calculate:
1. **Mean (Mx, My)**
   - Mx = (Mean for Brand A)
   - My = (Mean for Brand B)

2. **Variance (Var(X), Var(Y))**
   - Var(X) = (Variance for Brand A)
   - Var(Y) = (Variance for Brand B)

3. **Standard Deviation (σx, σy)**
   - σx = (Standard deviation for Brand A)
   - σy = (Standard deviation for Brand B)

This setup is useful for students to practice calculating mean, variance, and standard deviation using frequency and probability distributions.
Transcribed Image Text:The image displays a table comparing two brands, A and B, with their respective data on the relative frequencies of occurrence for different measurements, as well as several formulas to calculate statistical measures. The information is structured for an educational exercise labeled "In-class Work 7." ### Table Information: #### Brand A: - **x** Values and **Relative Frequency of Occurrence (P(X = x))**: - 15.8: Frequency 1, Probability 0.1 - 15.9: Frequency 2, Probability 0.2 - 16.0: Frequency 4, Probability 0.4 - 16.1: Frequency 2, Probability 0.2 - 16.2: Frequency 1, Probability 0.1 #### Brand B: - **y** Values and **Relative Frequency of Occurrence (P(Y = y))**: - 15.7: Frequency 2, Probability 0.2 - 15.8: Frequency 1, Probability 0.1 - 15.9: Frequency 1, Probability 0.1 - 16.0: Frequency 1, Probability 0.1 - 16.1: Frequency 1, Probability 0.1 - 16.2: Frequency 2, Probability 0.2 - 16.3: Frequency 2, Probability 0.2 ### Statistical Measures to Calculate: 1. **Mean (Mx, My)** - Mx = (Mean for Brand A) - My = (Mean for Brand B) 2. **Variance (Var(X), Var(Y))** - Var(X) = (Variance for Brand A) - Var(Y) = (Variance for Brand B) 3. **Standard Deviation (σx, σy)** - σx = (Standard deviation for Brand A) - σy = (Standard deviation for Brand B) This setup is useful for students to practice calculating mean, variance, and standard deviation using frequency and probability distributions.
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