The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The Boston Beanstalk Club, a social organization for the 'vertically gifted', has a requirement that women must be at least 70 inches tall to join. What percentage of women meet that requirement? a)

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The heights of women are normally distributed with a mean of 63.6 inches and a standard
deviation of 2.5 inches.
The Boston Beanstalk Club, a social organization for the 'vertically gifted', has a
requirement that women must be at least 70 inches tall to join. What percentage of
women meet that requirement?
a)
b)
The US Army requires women's heights to be between 58 inches and 80 inches. Find
the probability that a randomly selected women meets this height requirement.
c)
The Rockette dancers at New York's Radio City Music Hall have height restrictions
placed so that they can be a precision dance team. The dancers must be from the
middle 50% of the female population. What are the minimum and maximum allowable
heights?
Transcribed Image Text:The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The Boston Beanstalk Club, a social organization for the 'vertically gifted', has a requirement that women must be at least 70 inches tall to join. What percentage of women meet that requirement? a) b) The US Army requires women's heights to be between 58 inches and 80 inches. Find the probability that a randomly selected women meets this height requirement. c) The Rockette dancers at New York's Radio City Music Hall have height restrictions placed so that they can be a precision dance team. The dancers must be from the middle 50% of the female population. What are the minimum and maximum allowable heights?
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