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KEY Region 1- NT Region 2 -SH Region 3- NE Region 4SE Population 1 Under 50,000

ID: 3069656 • Letter: K

Question

KEY Region 1- NT Region 2 -SH Region 3- NE Region 4SE Population 1 Under 50,000 Population 250,000 100,000 Population 3 - Over 100,000 Count of Population Region Total 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 in the east or in a city with a population size of 100,000 or less?

Explanation / Answer

P(in East or population <= 100000)

= P(in NE or in SE or population 1 or population 2)

= Total returaunts in NE(region 3) or in SE(region 4) or population 1 or population 2/(Total Resturaunts)

=> Total returaunts in NE(region 3) or in SE(region 4) or population 1 or population 2 = 106+109+148+148 =

But, the resturaunts which are in NE and in population 1(= 43), or in NE and population 2 (= 27), or in SE and population 1 (= 32), or in SE and population 2 (= 30) are counted twice

=> Total returaunts in NE(region 3) or in SE(region 4) or population 1 or population 2

= 511 - (43+27+32+30)

= 379

Therefore, P(Resturaunt in East or in population <= 100000) = 379/450 = 0.8422