In: Statistics and Probability
10
| 
 KEY  | 
|
| 
 Region 1 = NW  | 
 Population 1 = Under 50,000  | 
| 
 Region 2 = SW  | 
 Population 2 = 50,000 - 100,000  | 
| 
 Region 3 = NE  | 
 Population 3 = Over 100,000  | 
| 
 Region 4 = SE  | 
| 
 Count of Population  | 
|||||
| 
 Region  | 
 Total  | 
||||
| 
 Population  | 
 1  | 
 2  | 
 3  | 
 4  | 
|
| 
 1  | 
 28  | 
 56  | 
 33  | 
 36  | 
 153  | 
| 
 2  | 
 36  | 
 36  | 
 44  | 
 31  | 
 147  | 
| 
 3  | 
 36  | 
 48  | 
 34  | 
 32  | 
 150  | 
| 
 Total:  | 
 100  | 
 140  | 
 111  | 
 99  | 
 450  | 
Big Burger is a fast food restaurant that has 450 locations all
over the U.S. Use the excel output above to answer the following
question.
Question:
What is the probability a selected restaurant is in a city with a
population size between 50,000 and 100,000?
Given That :
| 
 Region 1 = North West (NW)  | 
 Population 1 = Under 50,000  | 
| 
 Region 2 = south West (SW)  | 
 Population 2 = 50,000 - 100,000  | 
| 
 Region 3 = North East (NE)  | 
 Population 3 = Over 100,000  | 
| 
 Region 4 = South east (SE) 
 probability of a selected restaurant is in a city with a population size between 50,000 and 100,000 Number of restaurants in city and population size under 50,000 to 100,000 is 
 = 36 + 36 + 44 = 147 Total number of restaurants = 450 The probability a selected restaurants is in a city with a population size under 50,000 to 100,000 is = 147/450 = 0.3266 The probability a selected restaurants is in a city with a population size under 50,000 to 100,000 is 0.3266.  |