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John randomly surveys 50 peopleto find their favorite store at the mall. He finds that 18 people say they like the clothing store the best. If he conducts a second survey with 125 people, which is the BEST prediction for the number of people who will say they like the clothing store the best?

SmartMathMan  Oct 15, 2018
 #1
avatar+2742 
+1

\(\text{what they are probably after is } \tilde{\mu} = \dfrac{18}{50} \\ n_{pred}=n \cdot \tilde{\mu} = 125 \cdot \dfrac {18}{50} = 45\)

Rom  Oct 15, 2018
 #2
avatar+90968 
+1

We have the following proportion

 

18 / 50   =  x  / 125   multiply both sides by 125

 

125 * 18  /  50  = x

 

2250 / 50  =  x

 

225 / 5 = x

 

45 = x  = number of people out of 125 who like the clothing store the best

 

 

cool cool cool

CPhill  Oct 15, 2018

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