Continuous Normal Distribution

A continuous random variable is normally distributed with mean 145 and standard deviation is 5. Find P(136<X<140).

• 0.8054

• 0.8772

• 0.1228

• 0.1587

• 153.65

• 154.65

• 155.65

• 149.79

Given a continuous data with X~N(30,25). Find P(27<X<32).

• 0.3446

• 0.2743

• 0.3811

• 0.0703

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

• .008

• .992

• .301

• .862

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%

The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with mean of 1497

and standard deviation of 322. Calculate the z-score of a student earning a score of 1980.

.

• 2

• 1.5

• 1.75

• 2.25

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

• Mean = 57

  S.D. = 6.5

• Mean = 57

  S.D. = 7

• Mean = 57.5

  S.D. = 6.5

• Mean = 57.5

  S.D. = 13