A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. -The percentage of women who meet the height requirement is ____ %. (Round to two decimal places as needed.) -Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? A.) Yes, because the percentage of women who meet the height requirement is fairly large. B.) No, because the percentage of women who meet the height requirement is fairly small. C.) No, because only a small percentage of women are not allowed to join this branch of the military because of their height. D.) Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A survey found that women's heights are
-The percentage of women who meet the height requirement is ____ %.
(Round to two decimal places as needed.)
-Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
A.) Yes, because the percentage of women who meet the height requirement is fairly large.
B.) No, because the percentage of women who meet the height requirement is fairly small.
C.) No, because only a small percentage of women are not allowed to join this branch of the military because of their height.
D.) Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.
- For the new height requirements, this branch of the military requires women's heights to be at least ___ in and at most ___ in.
(Round to one decimal place as needed.)
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