Mathematics

Agustin Lowe

28 July, 02:17

1. Suppose a normal distribution has a mean of 12 and a standard deviation of 4.

A value of 18 is how many standard deviations away from the mean?

A.-2

B.-1.5

C. 1.5

D. 2

2. Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 2.

What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?

A.-3

B.-1.5

C. 1.5

D. 3

3. Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standard deviation of 1.2 gallons.

What is the difference in gallons per day used by a car with a z-score of 3 and another car that has a z-score of 0?

A. 1.2

B. 2.6

C. 3.6

D. 4.6