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, 8, 9, 11, 11, 11 , 12, 12, 14, 14, 14, 15, 17, 17, 17, 19, 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
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] .
