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HKUSPACE COMMUNITY COLLEGE 2014-15 QUANTITATIVE ANALYSIS I
SEMESTER ONE ASSIGNMENT TWO
marks
DURATION:
By
11:59pm
26/11/2014
NAME:
STUDENT NUMBER:
CLASS NO:
1.
In a library, 9 of 10 different books are selected and arranged on a bookshelf. Find the number
of arrangement if:
(a) there are no restrictions. (2 marks)
(b) they are in the order of the library serial number. (2 marks)
(c) the books with the smallest and the largest serial numbers among the 10 books are put on
the left and right ends respectively. (3 marks)
(d) the books with the smallest and the largest serial numbers among the 9 selected books are
put on the left and right ends respectively. (3 marks)
2014-15 QAI SEMESTER ONE ASSIGNMENT TWO
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2.
A bag contains 10 discs of which 4 are red, 3 are green and 3 are yellow. Discs are drawn at
random, one at a time and without replacement. Find the probability that
(a) the first drawn is green. (2 marks)
(a) the
drawn
is green
可 are both of the same colour. (2 marks)
(b)tìrstthe
first two
drawn
(b) lhe first two drawn ar 活 both of the same colour,
(c) the first three are of di tIerent colours,
(d) the sec011d 011e drawn is gree11, given that the tirst o n e 時間 d，
(e) the third one drawn is green, given that the tìrst two are of the same colour
(a) the tìrst drawn is green 可
(b) lhe
drawnone
ar drawn
活 bothisof
the same
(c)firstthetwo
second
green,
givencolour,
that the first one is red. (3 marks)
(c) the first three are of di tIerent colours,
(d) the sec011d 011e drawn is gree11, given that the tirst o n e 時間 d，
(e) the third one drawn is green, given that the tìrst two are of the same colour
(a) the tìrst drawn is green 可
(b) lhe first two drawn ar 活 both of the same colour,
(c) the first three are of di tIerent colours,
(d) the
011e
n e are
時間
d，same colour. (3 marks)
(d)sec011d
the third
onedrawn
drawnisisgree11,
green, given
given that
that the
the tirst
fìrstotwo
of the
(e) the third one drawn is green, given that the tìrst two are of the same colour
(a) the tìrst drawn is green 可
(b) lhe first two drawn ar 活 both of the same
~~colour,
END ~~
(c) the first three are of di tIerent colours,
(d) the sec011d 011e drawn is gree11, given that the tirst o n e 時間 d，
(e) the third one drawn is green, given that the tìrst two are of the same colour
2014-15 QAI SEMESTER ONE ASSIGNMENT TWO
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2014-15 QAI SEMESTER ONE ASSIGNMENT TWO
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2014-15 QAI SEMESTER ONE ASSIGNMENT TWO
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