Please explain steps? Thank you. QUESTION KEY Region 1-NW Region 2 Sw Region 3 -
ID: 3069348 • Letter: P
Question
Please explain steps? Thank you.
QUESTION KEY Region 1-NW Region 2 Sw Region 3 -NE Region 4-SE Population1 Under 50,000 Population 2 50,000 100,000 Population 3 = Over 100,000 Count of Population Region Total Population 28 36 36 100 56 36 48 140 36 31 32 153 147 150 450 34 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 west or in a city with a population size of 100,000 or less?Explanation / Answer
P(in west or in population <= 100000)
= P(in region NW, or in region SW, or in population <= 100000)
= P(in region 1 or in region 2 or in population 1 or in population 2)
=> Favorable outcomes in
region 1 = (28 + 36 + 36) = 100
region 2 = (56 +36 + 48) = 148
population 1 = (28 +56 +33 +36) = 153
population 2 = (36 +36 +44+ 31) = 147
Now, resturaunts which are in region 1 & population 1 (= 28), or in region 1 and population 2(= 36), or in region 2 and population 1(= 56), or in region 2 and poulation 1 (= 36) are counted twice.
Therefore, no. of favorable outcomes = (100 + 140 + 153 + 147) - (28 + 36 + 56 +36)
= 540 - 156
= 384
therefore probability = favorable outcomes/total outcomes
= 384/450
= 0.8533