Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To solve the problem of finding the probability that a randomly chosen customer's order will be Large, we follow these steps:
1. Identify the number of each type of order:
- Standard Hot Dog = 9
- Standard Hamburger = 45
- Standard Sandwich = 19
- Large Hot Dog = 3
- Large Hamburger = 18
- Large Sandwich = 6
2. Calculate the total number of Large orders:
- Large orders are given by:
[tex]\[ \text{Large Hot Dog} + \text{Large Hamburger} + \text{Large Sandwich} = 3 + 18 + 6 = 27 \][/tex]
Thus, the total number of Large orders is 27.
3. Calculate the total number of all orders:
- The total number of orders is the sum of all Standard and Large orders:
[tex]\[ \text{Standard Hot Dog} + \text{Standard Hamburger} + \text{Standard Sandwich} + \text{Large Hot Dog} + \text{Large Hamburger} + \text{Large Sandwich} \][/tex]
- Plugging in the numbers:
[tex]\[ 9 + 45 + 19 + 3 + 18 + 6 = 100 \][/tex]
Thus, the total number of orders is 100.
4. Calculate the probability of a Large order:
- The probability that a randomly chosen order is Large is given by the ratio of the total number of Large orders to the total number of orders:
[tex]\[ P(\text{Large}) = \frac{\text{Total Large orders}}{\text{Total orders}} = \frac{27}{100} \][/tex]
Therefore, the probability [tex]\( P(\text{Large}) \)[/tex] that a randomly chosen customer's order will be Large is:
[tex]\[ P(\text{Large}) = 0.27 \][/tex]
So, the probability is [tex]\(\boxed{0.27}\)[/tex].
1. Identify the number of each type of order:
- Standard Hot Dog = 9
- Standard Hamburger = 45
- Standard Sandwich = 19
- Large Hot Dog = 3
- Large Hamburger = 18
- Large Sandwich = 6
2. Calculate the total number of Large orders:
- Large orders are given by:
[tex]\[ \text{Large Hot Dog} + \text{Large Hamburger} + \text{Large Sandwich} = 3 + 18 + 6 = 27 \][/tex]
Thus, the total number of Large orders is 27.
3. Calculate the total number of all orders:
- The total number of orders is the sum of all Standard and Large orders:
[tex]\[ \text{Standard Hot Dog} + \text{Standard Hamburger} + \text{Standard Sandwich} + \text{Large Hot Dog} + \text{Large Hamburger} + \text{Large Sandwich} \][/tex]
- Plugging in the numbers:
[tex]\[ 9 + 45 + 19 + 3 + 18 + 6 = 100 \][/tex]
Thus, the total number of orders is 100.
4. Calculate the probability of a Large order:
- The probability that a randomly chosen order is Large is given by the ratio of the total number of Large orders to the total number of orders:
[tex]\[ P(\text{Large}) = \frac{\text{Total Large orders}}{\text{Total orders}} = \frac{27}{100} \][/tex]
Therefore, the probability [tex]\( P(\text{Large}) \)[/tex] that a randomly chosen customer's order will be Large is:
[tex]\[ P(\text{Large}) = 0.27 \][/tex]
So, the probability is [tex]\(\boxed{0.27}\)[/tex].
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.