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A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Let XXX represent the height of a randomly selected student from this set. Find P(X<115)P(X<115)P, left parenthesis, X, is less than, 115, right parenthesis.

Respuesta :

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Answer:

0.04

Step-by-step explanation:

Given that :

Mean(m) = 150

Standard deviation (s) = 20

Find P(X<115)

Obtain the Zscore :

(x - m) / s

(115 - 150) / 20

P(X<115) = - 1.75

Using the Z probability calculator :

P(Z < - 1.75) = 0.040059

P(Z < - 1.75) = 0.04

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