Please explain steps? Thank you. QUESTION KEY Region 1 = NW Region 2-SW Region 3
ID: 3069350 • Letter: P
Question
Please explain steps? Thank you.
QUESTION KEY Region 1 = NW Region 2-SW Region 3 NE Region 4-SE Population Under 50,000 Population 2 50,000. 100,000 Population 3 Over 100,000 Count of Population Total Region Population 38 53 34 125 35 38 37 110 43 27 36 106 32 30 47 109 148 148 154 450 Total: 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. What is the probability a selected restaurant is not in the southwest and in a city with a population size under 50,000?Explanation / Answer
P(not in southwest & in a city with population < 50000) = P(not in region 2 & in population 1)
=> P((not in region 2) intersection (in population 1))
=> If it is in population 1, then it can be in any of the regions 1 to 4. But we don't want it to be in region 2.
=> Therefore, favorable outcomes =
P(in population 1 & region 1) + P(in population 1 & region 3) + P(in population 1 & region 4)
=> (38 + 43 + 32)/450
=> 113/450
=> 0.2511