Exercises
Prepared By :
Rayan Aram BaramID:
311156005
Date :
16-5-2017
Thuesday
College of Science and Technology
Department of Computer Science
Morning Second Semenster
Course Titel :
probability and Statistics
Exercises chapter 1 1-
(
)
.
(
) (
) (
) (
) (
)
( ) = == 35 ( ) ( )= ( ) = ( )= =
= 21 ( )=
(35*15)+(35*6)+(21*1) = 756
(D)
2-
LEADING
5!= 5*4*3*2*1=120 (D)
3!= 3*2*1 = 6
120*6= 720 (C)
3-
CORPORATION4-
( ) =
= 35
( )
35*6=210 (A)
5-LEADER = 6!
=
= 360 (C)
6-
7-
DETAIL 3*3*2*2*1*1=36 (B)
8-
( )=
=
= 84
( )=
= 20
84-20=64 (A)
9-
(2,3,5,6,7) = 5!
=20 (A)
Exercises chapter 2
1-
A- P(A|B) =
B- P(B|A) =
C-
P
(
A
∪
B
)
= P(A)+P(B)-P(AB)
= + - =
D-
P
(
A
c|B
c)
=
=
E-
P
(
B
c|A
c)
=
=
= =
2-
A-
B-
3-
A- Dice = { (5,1),(1,5),(4,2),(2,4) } = =
B- Dice = { (1,2),(1,3),(1,4),(1,5),(1,6) }
=
C- Dice = { (1,2),(2,1),(1,3),(3,1) }
= = =
4-
= 0.03
5-
A- = -
=
B- = -
=
C-=
P
(
A
∪
B
)
= +-
= 1
6- ( ) ( ) ( )
( ) =
7-
A-
=
B-
8-
Pr(x = R) = ( )
( ) ( ) ( )
3
*
*
9-
A- {HH, TH, HT, TT}. Only 2 of those, TH and HT, =
B- Same 4 possibilities -- but only HH works. .
C- 2 possibilities are T, H. Only T works, .
10-
A- Dice = { (4,4),(4,5),(4,6) }
=
=
B-Dice = {(4,4),(4,5),(4,6),(5,5),(5,4),(5,6),(6,6),(6,5),(6,4) }
=
C- We don t have probability
D- Dice = { (2,6),(3,5),(3,6),(4,4),(4,5),(4,6) }
=
=
11- {
P( T}1.3|{H}1)
= { }
=
=
= P({HT}2,3)
= ( ) P(H)P(T) = =8
(H H H) (H H T) (H T H) (H T T) (T H H) (T H T) (T T H) (T T T)
{1 head} = {HTT,THT,TTH} P({1head} =
12-P(X = k) = ( )(
)
( )
P(X = 2) = ( )(
)
( )
P(X = 2) = =
P(X = 2) = (4C1*
)* (3C1* )
P(X = 2) =
