use the data in the following table, which lists drive - thru order accuracy at popular fast food chains…

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.\n\ndrive - thru restaurant\n| | a | b | c | d |\n|--|--|--|--|--|--|\n| order accurate | 331 | 280 | 243 | 142 |\n| order not accurate | 34 | 60 | 33 | 13 |\n\nif 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?\n\nthe probability of getting an order from restaurant a or an order that is accurate is \n(round to three decimal places as needed.)

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.\n\ndrive - thru restaurant\n| | a | b | c | d |\n|--|--|--|--|--|--|\n| order accurate | 331 | 280 | 243 | 142 |\n| order not accurate | 34 | 60 | 33 | 13 |\n\nif 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?\n\nthe probability of getting an order from restaurant a or an order that is accurate is \n(round to three decimal places as needed.)

Answer

Explanation:

Step1: Calculate total number of orders

Total number of orders = (331 + 280+243 + 142+34 + 60+33 + 13) (=1136)

Step2: Calculate number of orders from Restaurant A

Number of orders from Restaurant A = (331 + 34=365)

Step3: Calculate number of accurate orders

Number of accurate orders = (331+280 + 243+142) (=996)

Step4: Calculate number of orders from Restaurant A and accurate

Number of orders from Restaurant A and accurate = (331)

Step5: Use the addition - rule for probability

(P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)) (P(\text{Restaurant A or Accurate})=\frac{365}{1136}+\frac{996}{1136}-\frac{331}{1136}) (=\frac{365 + 996-331}{1136}=\frac{1030}{1136}\approx0.907)

Step6: Determine if events are disjoint

Two events are disjoint if they cannot occur at the same time. Since there are orders that are from Restaurant A and are accurate (331 such orders), the events of selecting an order from Restaurant A and selecting an accurate order are not disjoint.

Answer:

(0.907); The events are not disjoint.