Answer :
The student's heights between 93 centimeters and 100.5 centimeters will be 0.17586.
What is the z-score?
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A bunch of primary school understudy levels is regularly circulated with a mean of 105 centimeters and a standard deviation of 5 centimeters.
The student's heights between 93 centimeters and 100.5 centimeters will be given as,
z = (93 - 105) / 5
z = -2.4
z = (100.5 - 105) / 5
z = -0.9
Then the proportion is given as,
P(93 < x < 100.5) = P(-2.4 < z < -0.9)
P(93 < x < 100.5) = 0.17586
The student's heights between 93 centimeters and 100.5 centimeters will be 0.17586.
More about the z-score link is given below.
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