Answer:
81.9%
Step-by-step explanation:
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = 36
σ is the population standard deviation = 3
For x = 33
z = 33 - 36/3
= -1
Probability value from Z-Table:
P(x = 33) = 0.15866
For x = 42
z = 42 - 36/3
= 2
Probability value from Z-Table:
P(x = 42) = 0.97725
The probability of days would you expect the store to sell from 33 to 42 pairs of shoes is
P(x = 42) - P(x = 33)
= 0.97725 - 0.15866
= 0.81859
Therefore, the percent of days would you expect the store to sell from 33 to 42 pairs of shoes is calculated as
0.81859 × 100
= 81.859%
Approximately = 81.9%
