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ENGM2032, Applied Probability and Statistics
Winter 2010
Assignment #6
Due:
Mon Mar 1 (Section 3), Tue Mar 2 (Sections 1+2), 2010
1) Suppose that 30% of stocks (from different companies) purchased by a certain stockbroker
have first year returns that exceed expectations.
a) What is the approximate probability that, out of the next 100 stocks purchased by the
broker, more than 40 will have first year returns exceeding expectations?
b) How many stocks should the broker purchase to be 95% sure of having at least 30 with
returns exceeding expectations?
c) If the broker has purchased 100 stocks, then the broker will be 90% confident of having at
least how many of these stocks with returns exceeding expectations?
2) Suppose that the structural load applied to a column at each story of a structure is uniformly
distributed between 24 and 36 kN. If the structure is 30 stories tall and loads are assumed to
act independently, then
a) what is the probability that the total load at the base of the column exceeds 950 kN?
b) if the foundation at the foot of the column is to be designed using a load having only a 5%
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 Spring '10
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