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. drive - thru restaurant a b c d order accurate 329 263 237 140 order not accurate 39 59 34 13 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. (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. drive - thru restaurant a b c d order accurate 329 263 237 140 order not accurate 39 59 34 13 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. (round to three decimal places as needed.)

Answer

Explanation:

Step1: Calculate total number of orders

The total number of orders is the sum of all values in the table. $(329 + 263+237 + 140+39+59+34 + 13)=1114$

Step2: Calculate number of orders from Restaurant A

The number of orders from Restaurant A is $329 + 39=368$.

Step3: Calculate number of accurate orders

The number of accurate orders is $329+263 + 237+140 = 969$.

Step4: Calculate number of orders from Restaurant A and accurate

The number of orders from Restaurant A and accurate is $329$.

Step5: Use the addition - rule for probability

The formula for $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. $P(\text{Restaurant A})=\frac{368}{1114}$, $P(\text{Accurate})=\frac{969}{1114}$, $P(\text{Restaurant A and Accurate})=\frac{329}{1114}$. $P(\text{Restaurant A or Accurate})=\frac{368 + 969-329}{1114}=\frac{1008}{1114}\approx0.905$

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 (329 orders), the events of selecting an order from Restaurant A and selecting an accurate order are not disjoint.

Answer:

The probability of getting an order from Restaurant A or an order that is accurate is approximately $0.905$. The events of selecting an order from Restaurant A and selecting an accurate order are not disjoint.