Question

# Finding Probabilities Associated With z-score Values

1)      What is the probability of getting a z-score > than +2.00 à p(z > +2.00)?

p (z > +2.00) =

2)      p (z < -0.68) =

3)      p (z between -1.00 and +1.00) =

4)      p (z < -1.96 or z > +1.96) =

5)      What percentile rank corresponds to the z-score +1.63?

Finding z-scores From Probabilities

1)      What z-score separates the top 20%?

2)      What z-score separates the lowest 8%?

3)  What z-scores represent the middle 86.64%?

3)      What z-scores represent the middle 70% of the scores? (use column D)

### Finding Probabilities from Specific X-values

1)      In a population with μ = 50, σ = 10, what is the probability of obtaining a score less than 35 à p (X < 35)?

2)  In a population with μ = 100, σ = 25, what is the probability of obtaining a

score greater than 150?

3)  In a population with μ = 100, σ = 25, what is the probability of obtaining a

score between 75 and 125?

## Finding Specific X-values from Probabilities

1)  In a population with μ = 50, σ = 10

, what is the minimum score allowed in

order to be in the top 25% of the distribution?

2)  In a population with μ = 50, σ = 10, what is the maximum score allowed in

order to be in the bottom 10% of the distribution?

3)  In a population with μ = 50, σ = 10, what are the minimum and maximum scores

allowed in order to be in the middle 95%?