Math

ProbabilityQ&A LibraryFinding 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 6) 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%?Question

** **

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)

** **

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?

** **

** **

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%?

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