A QwikStore has generated their daily sales records on the results of selling their 20 oz. "Awesome Drink" across the last 400 days. What is the expected value of "Awesome Drinks"? Number Sold of "Awesome Drinks" Number of Days 75 120 50 75 100 125 Total OA) 22.50 OB) 110 OC) 325 OD) 88.13 OE) 1.00 125 80 400

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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**Question:**

QwikStore has generated their daily sales records on the results of selling their 20 oz. "Awesome Drink" across the last 400 days. What is the expected value of "Awesome Drinks"?

**Data Table:**

| Number Sold of "Awesome Drinks" | Number of Days |
|-----------------------------------|--------------------|
| 50                                              | 75                       |
| 75                                              | 120                     |
| 100                                            | 125                     |
| 125                                            | 80                       |
| **Total**                                    | **400**               |

**Options:**

A) 22.50  
B) 110  
C) 325  
D) 88.13  
E) 1.00  

**Solution:**

To calculate the expected value, multiply the number sold by the corresponding number of days, add the results, and divide by the total number of days.

- Calculation:  
  \[(50 \times 75) + (75 \times 120) + (100 \times 125) + (125 \times 80)\]
  \[= 3750 + 9000 + 12500 + 10000 = 35250\]

- Expected Value:  
  \[35250 \div 400 = 88.125\]

Therefore, the expected value is **D) 88.13**.
Transcribed Image Text:**Question:** QwikStore has generated their daily sales records on the results of selling their 20 oz. "Awesome Drink" across the last 400 days. What is the expected value of "Awesome Drinks"? **Data Table:** | Number Sold of "Awesome Drinks" | Number of Days | |-----------------------------------|--------------------| | 50 | 75 | | 75 | 120 | | 100 | 125 | | 125 | 80 | | **Total** | **400** | **Options:** A) 22.50 B) 110 C) 325 D) 88.13 E) 1.00 **Solution:** To calculate the expected value, multiply the number sold by the corresponding number of days, add the results, and divide by the total number of days. - Calculation: \[(50 \times 75) + (75 \times 120) + (100 \times 125) + (125 \times 80)\] \[= 3750 + 9000 + 12500 + 10000 = 35250\] - Expected Value: \[35250 \div 400 = 88.125\] Therefore, the expected value is **D) 88.13**.
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