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# 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%?

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Step 1

Hey, since there is multiple questions posted, we will answer first three subparts of the first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

Step 2

1.

Computing probability of getting a z-score greater than 2:

The probability of getting a z-score greater than 2 is given below:

Step 3

2.

Computing probability of getting a z-score less than –0.68:

The probability of getting a...

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