QUESTION IMAGE
Question
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 not accurate | 31 | 58 | 37 | 15 |
if one order is selected, find the probability of getting food that is not from restaurant a.
the probability of getting food that is not from restaurant a is
(round to three decimal places as needed.)
Step1: Calculate total orders
First, we find the total number of orders by summing up all the values in the table. For Restaurant A: \(323 + 31 = 354\). For Restaurant B: \(273 + 58 = 331\). For Restaurant C: \(235 + 37 = 272\). For Restaurant D: \(135 + 15 = 150\). Then total orders \(= 354 + 331 + 272 + 150\). Let's calculate that: \(354+331 = 685\), \(685+272 = 957\), \(957+150 = 1107\).
Step2: Calculate orders not from A
Orders from A are 354, so orders not from A are total orders minus orders from A: \(1107 - 354 = 753\).
Step3: Calculate probability
Probability is number of favorable outcomes (not from A) divided by total outcomes. So probability \(= \frac{753}{1107}\). Let's compute that: \(753\div1107\approx0.680\) (rounded to three decimal places).
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
\(0.680\)