Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.
<h3>What is Normal Probability Distribution?</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.
More can be learned about the normal distribution at brainly.com/question/27850813
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