Normal Distributions Finding Probabilities

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8? 

• 81.85%

• 47.5%

• 68%

• 95%

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

Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?

• 46.81%

• 8%

• 78.81%

• 21.19%

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?

• 0.67 inch

• 263 inches

• 272.44 inches

• 277.25 inches