Answer:
The percentage of the scores lying between 450 and 750 is 49.4%
Step-by-step explanation:
In this question, we are simply asked to calculate the percentage of the scores lying between a particular range.
The first thing to do here is to calculate the z score of both scores
Mathematically, z score = (x - mean)/SD
for score 450, we have ; z = (450-450)/120 = 0/120 = 0
For score 750, we have z = (750-450)/120 =
2.5
Now, we move on to calculate the probability before turning it into a percentage.
The supposed probability we are to calculate is as follows;
P(450 < x < 750) or P(0 < z < 2.5)
Using standard score table, P = 0.49379
The percentage is thus 49.4%
