3 years ago

Hey, I need help for this question, not sure what it is. Please respond quickly!

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation

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According to a human modeling project, the distribution of foot lengths of women is approximately Normal with a mean of 23.4 ce

stiv31 [10]

Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling project, the distribution of foot lengths of women is approximately Normal with $\mu=23.3\ cm$ and $\sigma=1.3\ cm$ .

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or smaller :-

$P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%$