Inverse Normal Distribution

X ~ N (14, 49)

Find x if P(X < x) = 0.8

• 19.9

• 8.1

• 5.0

• 23.0

X ~ N (14, 49)

Find x if P(X < x) = 0.46

• 9.7

• 13.3

• 14.7

• 18.3

X ~ N (36.5, 10)

Find x if P(X > x) = 0.9

• 23.7

• 40.6

• 32.4

• 49.3

X ~ N (36.5, 10)

Find x if P(X > x) = 0.4

• 34.8

• 35.7

• 37.3

• 38.2

X ~ N (0, 12)

Find x if P(|X|< x) = 0.5

• 2.34

• 3.99

• 0

• 2.47

X ~ N (0, 12)

Find x if P(|X|< x) = 0.8

• 4.44

• 0.88

• 2.92

• -2.92

A test is designed so that it has a mean of 100% and a standard deviation of 20. What score is needed to be in the top 2% of scorers?

• 117

• 147

• 59

• 141

Rabbit's masses are normally distributed with a mean of 2.6kg and a variance of 1.44kg. A vet decides that the top 20% of rabbits are obese.

What is the minimum mass for an obese rabbit?

• 3.61kg

• 4.14kg

• 1.59kg

• 5.06kg

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds