Probabilities with the Normal Distribution

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above
• two below and two above
• two below and zero
• zero and two above

Find the value for 
P(Z > 1.78)

• 0.0376
• 0.0375
• 0.0446
• 0.2420

Find the value for 
P(Z < -0.39)

• 0.3498
• 0.3483
• 0.3501
• 0.6502

Find the value for
P(Z > 2.46)

• 0.00714
• 0.99305
• 0.00695
• 0.99286

Find the value for
P( 0 < Z < 0.62)

• 0.7676
• 0.2324

Find the value for
P( -2.01 < Z < 0.88)

• 0.7884
• 0.2116
• 0.0222
• 0.1984

Find the z-score such that 30% of the standard normal curve lies to the left of z. 

• -1.88
• 0.52
• -0.52
• 1.88

Find the z-score such that 44% of the standard normal curve lies to the right of z. 

• -0.15
• -1.71
• 1.71
• 0.15

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  

• 1 
• 1.43
• -1.43
• 11.5

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2
• 1
• -2
• -1