Question
(b) An assembled product is made up from three components, X, Y and Z. The length of each component is normally distributed with the following
(b) An assembled product is made up from three components, X, Y and Z. The length of each component is normally distributed with the following characteristics :
Component X : mean = 122 cm, standard deviation = 11 cm
Component Y : mean = 36 cm, standard deviation = 6 cm
Component Z : mean = 24 cm, standard deviation = 4 cm
Find the percentage of finished products with length less than 180 cm.
(6 marks) [Total : 20 marks]
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
