Problem 2) Agriculture officials placed sticky traps in fruit trees at random throughout a neighborhood. They collected the traps and counted the number of fruit flies per trap. The data appear below: Fruit Flies in Sticky Traps Number of fruit Number of flies per trap traps 32 1 35 33 3 9. 4 Compute the mean а. 1.23 2 5 b. 1.42 с. 1.32 d. 1.39 Compute the standard deviation а. 1.23 b. 1.42 с. 1.32 1. 20
Problem 2) Agriculture officials placed sticky traps in fruit trees at random throughout a neighborhood. They collected the traps and counted the number of fruit flies per trap. The data appear below: Fruit Flies in Sticky Traps Number of fruit Number of flies per trap traps 32 1 35 33 3 9. 4 Compute the mean а. 1.23 2 5 b. 1.42 с. 1.32 d. 1.39 Compute the standard deviation а. 1.23 b. 1.42 с. 1.32 1. 20
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:### Problem 2: Analysis of Fruit Fly Distribution in Traps
Agriculture officials placed sticky traps in fruit trees at random throughout a neighborhood. They collected the traps and counted the number of fruit flies per trap. The data appear below:
#### Fruit Flies in Sticky Traps
| Number of fruit flies per trap | Number of traps |
|--------------------------------|-----------------|
| 0 | 32 |
| 1 | 35 |
| 2 | 33 |
| 3 | 9 |
| 4 | 5 |
| ≥ 5 | 3 |
1. **Compute the mean:**
- Options:
a. 1.23
b. 1.42
c. 1.32
d. 1.39
2. **Compute the standard deviation:**
- Options:
a. 1.23
b. 1.42
c. 1.32
d. 1.39
#### Continuation of Problem 2
If fruit flies are randomly distributed throughout the neighborhood, then the number of fruit flies per trap should follow a Poisson distribution. Use the sample mean and the Poisson probability distribution to obtain probabilities (carry four decimal places) and expected frequencies (to one decimal place) for these data.
3. **Compute the expected frequency based on Poisson distribution for \( K = 0 \):**
- Options:
a. 28.2
b. 40.5
c. 33.0
d. 29.0
4. **Compute the expected frequency based on Poisson distribution for \( K = 1 \):**
- Options:
a. 28.2
b. 40.5
c. 33.0
d. 29.0
5. **Compute the expected frequency based on Poisson distribution for \( K = 2 \):**
- Options:
a. 28.2
b. 40.5
c. 33.0
d. 29.0
6. **Compute the expected frequency based on Poisson distribution for \( K \geq 5 \):**
- Options:
a. 2.6
b. 2.3
c
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