Answer:
58.73%
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
So for 2400 we have:
z = (2400 - 2488) / (250)
z = -0.35
and this value represents 0.3632
for 89 we have:
z = (2900 - 2488) / (250)
z = 1.65
and this value represents 0.9505
we subtract:
0.9505 - 0.3632 = 0.5873
Therefore the probability would be 58.73%
