1)A company produces packets of soap powder labeled "Giant Size 20 oz." The actual weight of soap powder in such a box has a Normal distribution with a mean of 21 oz and a standard deviation of 0.7 oz. To avoid dissatisfied customers, a box of soap is considered underweight if it weighs less than 20 oz. To avoid losing money, the top 5% (the heaviest 5%) is labeled overweight.

How heavy does a box have to be in order for the box to be labeled overweight?

____________oz Round to 2 places.

2)A company knows that replacement times for the DVD players it produces are Normally distributed with a mean of 4.5 years and a standard deviation of 1.1 years.

Find the proportion of a randomly selected DVD players that will have a replacement time less than 2 years?

P(X< 2 years) = _________________ (Enter your answer accurate to 4 decimal places.)

3)Thinking it might be helpful, you ask the WCC Institutional Researcher for data. He doesn't have the data you need, but he does tell you that thepopulation mean GPA is 2.82withpopulation standard deviation of 1.07for all students who have ever attended Whatcom Community College.

a)79.1% of students will have a GPA lower than:

____________________Round to 2 decimal places.