A company produces packets of soap powder labeled “Giant Size 32 Ounces.” The actual weight of soap powder in such a box has a Normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight.
Reference: Ref 3-5

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
A. .0764
B. .2420
C. .7580
D. .9236

Question

A company produces packets of soap powder labeled “Giant Size 32 Ounces.” The actual weight of soap powder in such a box has a Normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight.
Reference: Ref 3-5

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
A.	.0764
B.	.2420
C.	.7580
D.	.9236

konradzuse · Answer

C?? http://www.wolframalpha.com/input/?i=normal+distribution%2C+mean%3D33%2C+sd%3D0.7%2C+P%28x+%3C+32%29