May 1 - Standard Normal Distribution

A national achievement test is administered annually to 3rd graders. The test has a mean score of 80 and a standard deviation of 8. If Jane's z-score is  $-1.2$  , what was her score on the test?

• 88

• 72

• 89.6

• 70.4

Tags

CCSS.HSS.ID.A.4

Find P(z > 1.33)

• 0.9082

• 0.0918

• 0.1093

• 0.8907

Tags

CCSS.HSS.ID.A.4

Find P( -1.26 < z < 0.57)

• 0.0047

• 0.9204

• 0.6119

• 0.4981

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inches. If waist sizes are normally distributed, what is the probability of selecting a teenage male who has a waist size greater than 31 inches?

• 0.9236

• 0.1050

• 0.1600

• 0.0764

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.1

The results for a spatial abilities test are normally distributed with a mean of 80 and standard deviation of 8. What is the probability of selecting a person who scored between 76 and 94?

• .2681

• .3486

• .6514

• .7322

Tags

CCSS.HSS.ID.A.4

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 probability that a randomly selected day will have a temperature less than 17 degrees?

• 0.0062

• 0.0764

• 0.9236

• 0.9938

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382. What is the probability that a woman selected at random has less than 5 for a red blood cell count?

• .8665

• .3665

• .1335

• .6335

Tags

CCSS.HSS.ID.A.4