The height of a women is normally distributed with the mean of 160 cm and a standard deviation of 8 cm. What is the probability that a women chossen at random would be : (a) shorter than 170 cm? (b) taller than 155 cm? (c) What height would put a woman among the tallest 10% of the population?
a)
b)
c)
z score = 1.282
x = mean +z-score*stadard dev = 160+8*1.282 = 170.256
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