The events are not or are disjoint because it is not or is possible to pick an inaccurate order, receive an accurate order from Restaurant A, or pick an order from Restaurant B, C, D. **Drive-thru Order Accuracy Analysis**The table below presents data on drive-thru order accuracy at four popular fast food chains, labeled A, B, C, and D. Orders are assumed to be randomly selected from those included in the table.| | A | B | C | D ||------------------|-----|-----|-----|-----|| **Order Accurate** | 313 | 277 | 250 | 150 || **Order Not Accurate** | 34 | 58 | 40 | 16 |### Probability Assessment**Task:**Determine the probability of two events:1. Receiving an order from Restaurant A or receiving an accurate order.2. Identify whether the events “selecting an order from Restaurant A” and “selecting an accurate order” are disjoint.**Calculations:**- **Probability of Getting an Order from Restaurant A or an Accurate Order:** This probability requires calculating the union of two events: obtaining an order from Restaurant A and receiving an accurate order.- **Disjoint Events Analysis:** Events are considered disjoint if they cannot both occur simultaneously.**Instructions:**1. Calculate the probability, ensuring to round to three decimal places.2. Examine whether the events "selecting an order from Restaurant A" and "selecting an accurate order" can occur together. Indicate if these events are disjoint, and explain your reasoning.**Input Fields:**- Probability box for entering the calculated probability.- Dropdown options to select whether the events are disjoint and provide an explanation.Understanding these probabilities helps in analyzing service quality across different restaurants and improving customer satisfaction.

The given data table is Drive-thru Restaurant A B C D order accurate 313 277 250 150 order not accurate 34 58 40 16 Now, we compute the row totals and column totals of the above table and get the below table: Drive-thru Restaurant A B C D Total order accurate 313 277 250 150 990 order not accurate 34 58 40 16 148 Total 347 335 290 166 1138Let A denotes the event of getting an order from Restaurant A and B denotes the event that an order is accurate. Here total number of orders is 1138. So, the total number of outcomes is n=1138. From the table with row totals and column totals, we find that 347 orders are from Restaurant A. So, the number of outcomes favorable to the event A is n(A)=347. Note that 990 orders are accurate. So, the number of outcomes favorable to the event B is n(B)=990. 313 orders are from Restaurant A and these orders are accurate. So, the number of outcomes favorable to the event A∩B is n(A∩B)=313. The probability of getting an order from Restaurant A or an order that is accurate is P(A∪B)=P(A)+P(B)-P(A∩B)=n(A)n+n(B)n-n(A∩B)n=n(A)+n(B)-n(A∩B)n=347+990-3131138≈0.900We know that two events are disjoint if these events cannot occur simultaneously. From the given table, we find that 313 orders are from Restaurant A and these orders are accurate. So, the events of selecting an order from Restaurant A and selecting an accurate order are not disjoint events. The events are not disjoint because it is possible to receive an accurate order from Restaurant A.

Math

Statistics

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant C 250 40 A B 313 277 58 Order Accurate Order Not Accurate 34 D 150 16 If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? - The probability of getting an order from Restaurant A or an order that is accurate is.

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant C 250 40 A B 313 277 58 Order Accurate Order Not Accurate 34 D 150 16 If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? - The probability of getting an order from Restaurant A or an order that is accurate is.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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