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jolli1 [7]
3 years ago
12

Assume that lengths of newborn girls are normally distributed with a mean of 49.2 centimeters and a standard deviation of 1.8 ce

ntimeters. What is the percentile rank of a baby girl whose length is 47 centimeters?
A. 13%
B. 11%
C. 9%
D. 1%
Mathematics
1 answer:
ankoles [38]3 years ago
4 0

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= \frac{x-mean}{standard\ deviation}

z-score= \frac{47-49}{1.8} = \frac{-2}{1.8}

∴ z-score= -1.11

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

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

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