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

Explanation:

Step1: Calculate total number of orders

The total number of orders is the sum of all values in the table. [313 + 279+231 + 126+39+59+37+18=\sum_{i = 1}^{8}x_{i}=1102]

Step2: Calculate number of non - accurate orders

The number of non - accurate orders is (39 + 59+37+18=153).

Step3: Calculate number of orders from Restaurant C

The number of orders from Restaurant C is (231 + 37=268).

Step4: Calculate number of non - accurate orders from Restaurant C

The number of non - accurate orders from Restaurant C is (37).

Step5: Use the addition rule for probability

The formula for (P(A\cup B)=P(A)+P(B)-P(A\cap B)). Let (A) be the event of getting a non - accurate order and (B) be the event of getting an order from Restaurant C. [P(A)=\frac{153}{1102}], [P(B)=\frac{268}{1102}], [P(A\cap B)=\frac{37}{1102}] [P(A\cup B)=\frac{153 + 268-37}{1102}=\frac{384}{1102}\approx0.348]

Step6: Determine if events are disjoint

Two events are disjoint if they cannot occur at the same time. Since there are non - accurate orders from Restaurant C (37 non - accurate orders from C), it is possible to have an order that is both non - accurate and from Restaurant C. So the events are not disjoint.

Answer:

The probability of getting an order from Restaurant C or an order that is not accurate is (0.348). The events of selecting an order from Restaurant C and selecting an inaccurate order are not disjoint because it is possible to select an order that is both from Restaurant C and inaccurate.