Normal Random Variable to Standard Normal Variable and vice vers

Sketch a distribution curve with a mean of 3 and SD of 2. Write all the data that lies within 68-95-99.7% of the distribution.

Answer explanation

Which of the following is also known as the standard score or standard deviation value?

• Raw score

• z-score

• Random Variable score

• Continuous random score

Given x=40 ; μ=16 ; σ= 8. Find the z-score.

• -3

• 5

• 3

• -5

Given z= -1.25 ; μ=58 ; σ= 8. Find the raw score.

• 46

• 47

• 48

• 49

For questions 4&5. Given x=20 ; μ=26 ; σ= 4. Find the z-score.

• -1.5

• 1.25

• 1.5

• -1.25

For questions 4&5. Given x=20 ; μ=26 ; σ= 4. Find its area.

• 38.45%

• 40.87%

• 42.98%

• 43.32%

Assuming that the scores of Grade 11 Students in Statistics and Probability in their third quarter test are normally distributed with a mean of 50 and Standard deviation of 5. Find the raw score and percentage if the z-score is 2.

• X=60

  P = 47.72%

• X=60

  P= 44.56%

• X= 40

  P = 65.62%

• X=40

  P= 54.17%