Assume that orders are randomly selected from those included on the table. if one order is selected, find the probability of getting an order from A or an order that is accurate. Are the events of selecting an order from restaurant A and selecting an accurate order disjoint events?
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Assume that orders are randomly selected from those included on the table. if one order is selected, find the probability of getting an order from A or an order that is accurate. Are the
what is t
![### Drive-thru Order Accuracy Data
The following table displays the accuracy of drive-thru orders at four different restaurants. The table categorizes the orders as either accurate or not accurate:
| | Drive-thru Restaurant A | Drive-thru Restaurant B | Drive-thru Restaurant C | Drive-thru Restaurant D |
|---------------|-------------------------|-------------------------|-------------------------|-------------------------|
| **Order Accurate** | 326 | 276 | 250 | 122 |
| **Order Not Accurate** | 39 | 59 | 31 | 16 |
#### Problem Statement
If one order is selected at random, find the probability of getting an accurate order.
**Step-by-Step Solution:**
1. **Total Orders Calculation:**
- For each restaurant, sum the "Order Accurate" and "Order Not Accurate" to get the total number of orders:
- Restaurant A: 326 (Accurate) + 39 (Not Accurate) = 365 Total Orders
- Restaurant B: 276 (Accurate) + 59 (Not Accurate) = 335 Total Orders
- Restaurant C: 250 (Accurate) + 31 (Not Accurate) = 281 Total Orders
- Restaurant D: 122 (Accurate) + 16 (Not Accurate) = 138 Total Orders
2. **Accurate Order Probability Calculation:**
- Sum all accurate orders: 326 (A) + 276 (B) + 250 (C) + 122 (D) = 974
- Sum all total orders: 365 (A) + 335 (B) + 281 (C) + 138 (D) = 1119
- Calculate the probability: \( P(\text{Order Accurate}) = \frac{\text{Total Accurate Orders}}{\text{Total Orders}} = \frac{974}{1119} \)
- Divide the numbers and round to three decimal places:
\[
P(\text{Order Accurate}) \approx 0.871
\]
Therefore, the probability of selecting an accurate order is approximately 0.871.
### Summary
This table and the associated calculations help understand and evaluate the accuracy of drive-thru orders across four different restaurants. By calculating the probabilities, we'll be able to estimate the likelihood of receiving an accurate order from a randomly selected drive](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84bb7258-c9e7-462e-90c8-d7e713dc9844%2F3e1866dc-227e-44b8-90dc-d0c0698bf9a7%2F643qfb_reoriented.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
