Question 1192502
**1. Calculate the Probability of Each Demand Range**

* **Total Range of Demand:** 3000 kgs - 2000 kgs = 1000 kgs

* **Probability of Demand between 2000-2250 kgs:** 
   (2250 kgs - 2000 kgs) / 1000 kgs = 250 kgs / 1000 kgs = 0.25

* **Probability of Demand between 2250-2500 kgs:** 
   (2500 kgs - 2250 kgs) / 1000 kgs = 250 kgs / 1000 kgs = 0.25

* **Probability of Demand between 2500-3000 kgs:** 
   (3000 kgs - 2500 kgs) / 1000 kgs = 500 kgs / 1000 kgs = 0.50

**2. Calculate the Expected Profit**

* **Expected Profit:** 
   (Probability of Range 1 * Average Profit of Range 1) + 
   (Probability of Range 2 * Average Profit of Range 2) + 
   (Probability of Range 3 * Average Profit of Range 3)

   = (0.25 * 981.5) + (0.25 * 1136.5) + (0.50 * 1344.2) 
   = 245.375 + 284.125 + 672.1 
   = **1201.6**

**Therefore:**

* The probability of demand between 2000-2250 kgs is 0.25.
* The probability of demand between 2250-2500 kgs is 0.25.
* The probability of demand between 2500-3000 kgs is 0.50.
* The expected profit on a randomly chosen day is $1201.60.