Assume that lengths of newborn girls are normally distributed with a mean of 49.2 centimeters and a standard deviation of 1.8 centimeters. What is the percentile rank of a baby girl whose length is 47 centimeters?
A. 13%
B. 11%
C. 9%
D. 1%

Respuesta :

Answer:

0.8665 percentile.

Step-by-step explanation:

Given: length of new born baby girl= 47 cm.

           Mean= 49.2 cm

           Standard deviation= 1.8 cm

Lets "x" represent the length of new born baby girl´s length.

First finding the z-score

we know, z-score= [tex]\frac{x-mean}{standard\ deviation}[/tex]

z-score= [tex]\frac{47-49}{1.8} = \frac{-2}{1.8}[/tex]

∴ z-score= -1.11

Now using z-score table to find the percentile rank of baby girl.

Hence, we find that it is [tex]1-0.1335= 0.8665[/tex] percentile rank of baby girl whoes length is 47 centimeter.

Answer:

11%

Step-by-step explanation:

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