Answer:
81.85% of days would you expect the store to sell from 33 to 42 pairs of shoes
Step-by-step explanation:
The mean number of pairs of shoes sold by a shoe store is 36
[tex]\mu = 36[/tex]
Standard deviation = [tex]\sigma = 3[/tex]
We are supposed to find percent of days would you expect the store to sell from 33 to 42 pairs of shoes i.e.P(33<x<42)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 33
[tex]Z=\frac{33-36}{3}[/tex]
Z=-1
Refer the z table for p value
p =0.1587
At x = 42
[tex]Z=\frac{42-36}{3}[/tex]
Z=2
Refer the z table for p value
p =0.9772
So,P(33<x<42)=P(x<42)-P(x<33)=0.9772-0.1587=0.8185
Hence 81.85% of days would you expect the store to sell from 33 to 42 pairs of shoes
