The question supplied is incomplete :
The x parameters aren't given ; "Units with weights less than or greater than ounces will be classified as defects"
Assume the unit weights Given are ;
Units with weights less than 10.8 or greater than 11.2 ounces will be classified as defects
Just follow the procedure in the solution for any value of unit weight interval given.
Answer:
0.3173
Step-by-step explanation:
Mean weight, m = 11 ounces
Standard deviation, s = 0.2 ounces
Find the Zscore for each unit weight :
Z = (x - mean) / standard deviation
P(x < 10.8) :
Z = (10.8 - 11) / 0.2 = - 1
P(Z < - 1) = 0.15866
P(x > 11.2) :
Z = (11.2 - 11) / 0.2 = 1
P(Z > 1) = 0.84134
P(x < 11.2) - P(x < 10.8) = 1 - (P(Z < 1) - P(Z < - 1)) = 1 - 1 - (0.84134 - 0.15866) = 1 - 0.68268 = 0.31732
Hence, Probability of a defect is 0.3173
