Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
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].
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.