Question

9. The administration is planning on giving assessments to the top 10% of seniors. If the mean of the senior class GPAs is 3.38 with a standard deviation of 0.15, what is the indicated z-score?

10. Indicate whether the following statistics can be examples of binomial probability distributions:

a.) results of spinning a 4-color spinner

b.) results of flipping a quarter

c.) results of drawing a red or black suit from a deck of cards

d.) results of hitting red light or green light at the intersection of Main and Rt. 340

Answer 1

Question 9

The Z value for top 10% by using excel or z-table is given as below:

Z = 1.281552

X = Mean + Z*SD

X = 3.38 + 1.281552*0.15

X = 3.572233

Indicated z-score = 1.281552

Question 10

Answer:

c.) results of drawing a red or black suit from a deck of cards

d.) results of hitting red light or green light at the intersection of Main and Rt. 340

Explanation:

We know that the binomial experiment have only two outcomes.

A spinning of a 4-color spinner have four outcomes.

Flipping a quarter has four outcomes.

Drawing a red or black suit from deck of cards has two outcomes.

Hitting a red or green light has two outcomes.

So, last two have binomial distributions.