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A sample survey was taken of 100 customers to determine which brand of snack crackers they prefer. Brand A was selected by about 17% of the customers, brand B was selected by about 50% of the customers, and brand C was selected by the remaining customers.

Which statistical model could be used to make predictions about the snack cracker brand a random customer may prefer?

A.
brand A: die roll is 3
brand B: die roll is less than 3
brand C: die roll is greater than 3
B.
brand A: die roll is 4
brand B: die roll is greater than 4
brand C: die roll less than 4
C.
brand A: die roll is 3
brand B: die roll is even
brand C: die roll is 1 or 5
D.
brand A: die roll is 1
brand B: die roll is even
brand C: die roll is odd

Respuesta :

c
Each number on the dice is close to 17%

Cracker A need 1 number (17%)
Cracker B needs 3 numbers (50%)
Cracker C is the remainder (33%) or 2 numbers

The statistical model could be used to make predictions about the snack cracker brand a random customer may prefer option C

brand A: die roll is 3

brand B: die roll is even

brand C: die roll is 1 or 5

What is Statistical model?

A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data

Here total number of customers =100

Brand A was selected by about 17% of the customers= [tex]\frac{17}{100}[/tex]≈[tex]\frac{1}{6}[/tex]

Brand B is selected by 50% of the customers =[tex]\frac{50}{100} =\frac{1}{2}[/tex]

Brand C is selected by 100-(50+17)=33% of the customers

Then it will be [tex]\frac{33}{100}[/tex] ≈ [tex]\frac{1}{3}[/tex]

Which is match with option C

Die roll is 3

Probability = Favorable Outcome / Total outcome

Total outcome is 6

Die roll is 3

Probability =[tex]\frac{1}{6}[/tex]

Die roll is even

Favorable outcomes are 2,4 and 6

Probability = [tex]\frac{1}{2}[/tex]

Die role is 1 or 5

Probability = [tex]\frac{2}{6}=\frac{1}{3}[/tex]

Hence, the correct answer is option C

brand A: die roll is 3

brand B: die roll is even

brand C: die roll is 1 or 5

Learn more about statistical model here

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