Normal Distributions Probability

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33

• 1.33

• 0.88

• 1.02

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

The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?

• 115

• 130.75

• 145

• 120

Find the area under the standard normal curve where z < 2.42 .

• .008

• .992

• .301

• .862

A data point that equals the mean has a z-score of what value?

• 0

• 1

• -1

• 1.5

Find the area to the right of z= -1.02

• .846

• .782

• .154

• .523

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  How many standard deviations from the mean would a temperature of 17 degrees be?  

• 1 

• 1.429

• -1.429

• 11.5

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  Approximately what percent of days in February will have days below 23 degrees?

• 5%

• 34%

• 50%

• 68%

The average height of NBA basketball players is 79 inches with a standard deviation of 1.75 inches. Approximately what percent of the players are taller than 82 inches?

• about 4% to 5%

• about 2% to 3%

• about 6% to 7%

• about 6.5%c to 7.5%

On a science test, a score of 91 falls exactly 1.5 standard deviations above the mean. If the standard deviation for the test is 8, what is the mean score?

• 79

• 72

• 75

• 81