Assume that a set of test scores is normally distributed with a mean of 120120 and a standard deviation of 1010. use the 68-95-99.7 rule to find the following quantities.
suggest you make a drawing and label first.
a. percentage of scores less than 100b. relative frequency of scores less than 120c. percentage of scores less than 140d. percentage of scores less than 80e. relative frequency of scores less than 60f. percentage of scores greater than 120

a. 2.5%

b. 0.5

c. 97.5%

d. 0%

e. 0

f. 50%

Step-by-step explanation:

The 68-95-99.7 rule states, for this case:

See figure attached

a. Percentage of scores less than 100 = 0.15 + 2.35 = 2.5%

b. Relative frequency of scores less than 120 = 0.5

c. Percentage of scores less than 140 = 100 - (0.15 + 2.35) = 97.5%

d. Percentage of scores less than 80 = 0% (note: this value is out of the range -3 standard deviation, +3 standard deviation)

e. Relative frequency of scores less than 60 = 0 (note: this value is out of the range -3 standard deviation, +3 standard deviation)

f. Percentage of scores greater than 120 = 50%

d

step-by-step explanation:

i used the pitagoras theoreme

answer

step-by-step explanation: