Standing eye heights of women are normally distributed with a mean of 1560 mm and a standard deviation of 50 mm. a. What proportion of women have eye heights between 1475 mm and 1625 mm? b. A door peephole is placed at a height that in

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Question 5

felds were infested?
5. Standing eye heights of women are normally distributed with a mean of 1560 mm
and a standard deviation of 50 mm.
a. What proportion of women have eye heights between 1475 mm and 1625
mm?
b.
A door peephole is placed at a height that is uncomfortable for women
with standing eye heights greater than 1615 mm. What percentage of
women will find that height uncomfortable?
c. In selecting the height of a door peephole, the architect wants its height to
be suitable for the highest 97% of standing eye of women. What standing
height of women separates the highest 97% of standing eye heights from
the lowest 3%?
Transcribed Image Text:felds were infested? 5. Standing eye heights of women are normally distributed with a mean of 1560 mm and a standard deviation of 50 mm. a. What proportion of women have eye heights between 1475 mm and 1625 mm? b. A door peephole is placed at a height that is uncomfortable for women with standing eye heights greater than 1615 mm. What percentage of women will find that height uncomfortable? c. In selecting the height of a door peephole, the architect wants its height to be suitable for the highest 97% of standing eye of women. What standing height of women separates the highest 97% of standing eye heights from the lowest 3%?
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