Question 840652
An engineer designs cars to comfortably fit woman above the height of 157.5cm. The mean height of woman in the UK is 160.9 cm with a standard deviation of 6.0 cm. What proportion of women will be excluded from buying this car? (Assume the height of women is normally distributed)
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z(157.5) = (157.5-160.9)/6 = -0.5667
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P(x <=157.5) = P(z<=-0.5667) = 0.2855
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Cheers,
Stan H.