A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. L

Question

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Let X=, the height of a randomly selected student from this set.

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Evelyn 3 months 2022-02-13T21:44:19+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-02-13T21:46:04+00:00

    Answer:

    0.11

    Step-by-step explanation:

    This is the answer for the Kahn Academy, not sure why the other was so off

    0
    2022-02-13T21:46:15+00:00

    Answer:

    The proportion of students whose height are lower than Darnell’s height is 71.57%

    Step-by-step explanation:

    The complete question is:

    A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

    What proportion of proportion of students height are lower than Darnell’s height.

    Answer:

    We first calculate the z-score corresponding to Darnell’s height using:

    [tex]Z=\frac{X-\mu}{\sigma}[/tex]

    We substitute x=161.4 , [tex]\mu=150[/tex], and [tex]\sigma=20[/tex] to get:

    [tex]Z=\frac{161.4-150}{20} \\Z=0.57[/tex]

    From the normal distribution table, we read 0.5 under 7.

    The corresponding area is 0.7157

    Therefore the proportion of students whose height are lower than Darnell’s height is 71.57%

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45:7+7-4:2-5:5*4+35:2 =? ( )