Answer:
0.66772
Step-by-step explanation:
Given that :
Mean (m) = 62
Standard deviation (s) = 4
probability that a data value is between 57 and 65
P(57 < x < 65)
Using the relation :
(x - m) / s
P(x < 57) :
(57 - 62) / 4 = - 1.25
P(Z < - 1.25) = 0.10565 ( Z probability calculator)
P(x < 65) :
(65 - 62) / 4 = 0.75
P(Z < 0.75) = 0.77337 (Z probability calculator)
P(Z < 0.75) - P(Z < - 1.25)
0.77337 - 0.10565 = 0.66772
