Respuesta :
Answer:
The probability that between 6 to 10 pairs of New Balance shoes will be sold next week is [tex]\frac{3}{25}[/tex] .
Step-by-step explanation:
We are given the following data that show the number of pairs of men's New Balance sneakers that were sold over the last 25 weeks at a discount shoe store below;
1, 4, 6, 6, 8, Â 8, 9, 11, 11, 11 , 12, 12, 14, 14, 14, Â 15, 17, 17, 17, 19, Â 19, 20, 21, 24, 24.
Now, preparing the relative frequency distribution for this data;
 No. of pairs of men's        Frequency (f)      Relative frequency
New Balance sneakers (X)
         1                      1                  1
        4                      1                  2
        6                      2                  4
        8                      2                  6
        9                      1                  7
        11                      3                 10
        12                     2                 12
        14                     3                 15
        15                     1                  16
        17                     3                  19
        19                     2                 21
        20                     1                  22
        21                     1                  23
        24                     2                 25
       Total                  25    Â
Here the frequency of 2 against 6 represents that 6 is occurring 2 times in our given data.
Now, the probability that between 6 to 10 pairs of New Balance shoes will be sold next week is given by = P(6 < X < 10)
   P(6 < X < 10) = P(X < 10) - P(X [tex]\leq[/tex] 6)
             = [tex]\frac{7}{25} - \frac{4}{25}[/tex] = [tex]\frac{3}{25}[/tex] .
