For 16, 17, and 18, the amount of juice that a machine puts into a container at a bottling plant is normally distributed with a mean of 11.9 ounces and a standard deviation of 0.3 ounces.

1.What is the probability of selecting a single container that has between 11.9 and 12.6 ounces of juice?

2.How much juice is in the fullest 3% of the containers?

3.If a sample of 20 containers is chosen, what is the probability that the mean amount of juice in the containers is more than 12.0 ounces?

4.Consider a jar that contains the following for each of a, b, c below.

Two yellow tokens numbered 1 and 2

Three green tokens numbered 1,2, and 3

Five red tokens numbered 1,2,3,4 and 5

One token is drawn from the jar:

a.What is the probability of drawing a green token?

b.What is the probability of drawing a number 2 token or a number 4 token?

c.What is the probability of drawing a number 2 token or a red token?

In a math class, each quiz counts 12%, the homework counts 10%, and the final exam counts 30% of the course grade. If a student gets grade of 81, 75, 92, 100, and 70 on the quizzes, 100 for the homework, and 91 on the final exam, what does the student earn for the course