Question 1193957: Every day Michael puts 5 coins with 1 euro each and 9 coins with 2 euros. Every day before noon he loses 3 coins and after noon he loses 7 coins. Find the average, dispersion and correlation of before and after noons losses.
Answer by parmen(42)   (Show Source):
You can put this solution on YOUR website! **1. Calculate the Total Value of Coins**
* 5 coins * 1 euro/coin = 5 euros
* 9 coins * 2 euros/coin = 18 euros
* Total value = 5 euros + 18 euros = 23 euros
**2. Calculate the Average Money Lost Before Lunch**
* **Possible Scenarios:**
* All 3 coins are 1 euro: Loss = 3 euros
* All 3 coins are 2 euros: Loss = 6 euros
* Combinations of 1 euro and 2 euro coins: Loss can vary between 3 and 6 euros
* **Average Loss Before Lunch:**
* To find the exact average, we would need to consider all possible combinations of coins lost.
* However, we can estimate the average loss as: (3 euros + 6 euros) / 2 = 4.5 euros
**3. Calculate the Average Money Lost After Lunch**
* **Possible Scenarios:**
* All 7 coins are 1 euro: Loss = 7 euros
* All 7 coins are 2 euros: Loss = 14 euros
* Combinations of 1 euro and 2 euro coins: Loss can vary between 7 and 14 euros
* **Average Loss After Lunch:**
* Similar to before lunch, we can estimate the average loss as: (7 euros + 14 euros) / 2 = 10.5 euros
**4. Dispersion (This requires more information)**
* **Dispersion** measures how spread out the data is. To calculate dispersion, we would need to know the probability distribution of losing each type of coin.
* **Standard Deviation:** If we had the probability distribution, we could calculate the standard deviation of the losses before and after lunch, which would give us a measure of dispersion.
**5. Correlation Coefficient (Difficult to Determine in this Case)**
* **Correlation** measures the relationship between two variables.
* In this scenario, it's difficult to define a meaningful correlation.
* The loss before lunch and the loss after lunch are not directly related in a way that allows us to calculate a meaningful correlation coefficient.
**Key Considerations:**
* **Simplifications:** The calculations above make some simplifying assumptions. In reality, the actual losses would vary based on the specific coins lost each day.
* **Probability Distribution:** To get more accurate results for average loss, dispersion, and potentially correlation, we would need to know the probability of losing each type of coin (1 euro or 2 euros) before and after lunch.
**Note:** This analysis provides a basic framework. For a more precise and comprehensive analysis, further information and statistical methods would be required.
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