Business Mathematics I
Homework 2
for
Math 115a, Section:
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Date:
by
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completion of this assignment and that the work contained herein is original.
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the policies and procedures established for this course.
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1. (Exercise 3 in Word Processing Mathematics) Process the following expressions
without the box, using 12-point type in a Word document.
(i) P( E ) = 1 - P ( E C ) .
(ii) P( A1 È A2 ) ³ P( A1 Ç A2 ) .
(iii) μ X = E ( X ) .
2. Process the following expressions without the box, using 12-point type in a Word
document.
C
C
C
(i) ( A Ç B ) = A È B .
(ii) P( A)  P( A È B) .
(iii)  X = V ( X ) .
3. Process the following expressions without the box, using 12-point type in a Word
document.
C
C C
(i) ( A È B ) = A Ç B .
(ii) P( S ) = 1 .
(iii) F X ( x ) = P ( X  x ) .
4. Use the equation editor to process the following expression without the box, using 12point type in a Word document.
4
k
1
2
3
1
1 1
1 1
  2  =  2    2    2    2 
k =1
1 1 1 1
=   
2 4 8 16
8  4  2 1
=
16
= 15 = 0.9375
16
4
5. (Exercise 7 in Word Processing Mathematics) Use the equation editor to process the
following expression without the box, using 12-point type in a Word document.
2
2
2
2
 x
3
4
5
6
  5  =  5    5    5    5 
all x
9  16  25  36
=
25
= 86 @ 3.4
25
2
6. Use the equation editor to process the following expression without the box, using 12point type in a Word document.
n
 n
P  E i  =  P ( E i )


 i =1  i =1
7. (Exercise 9 in Word Processing Mathematics) Use the equation editor to process the
following expression without the box, using 12-point type in a Word document.
0.5 if 0  x  2
f X ( x) = 
0 if x  0 or 2  x
8. Use the equation editor to process the following expression without the box, using 12point type in a Word document.
E( X ) =
 x  P( X = x)
all x
9. Use the equation editor to process the following expression without the box, using 12point type in a Word document.
n
1
s =
  ( xi - x ) 2
n - 1 i =1
2