cant load here

(
)
(
)
(
)
22
22
2
3) if a coin tossed three times
Total number of cases are
HHH,TTH,THT,HTT, HTH, HHT, THH, TTT
R3
1331
391
7
R1
1111
1
R1
111
HHH
XRR
TTH
XRR

THT
XRR
-------------------------------------
=
=--=--
=--
=-
=
=--=--
=-
=
=--=-
(
)
2
22
1
1
R1
1111
1
HTT
XRR
-
=-
=
=--=--
=-
(
)
(
)
(
)
(
)
22
R2
1221
3
similarly
R2
3
R2
3
R0
1
71113331
HHT
XRR
HTH
X
HHT
X
TTT
X
RHHHHTTTHTTTHTHHHHTHTHTTT
X
=
=--=--
=-
=
=-
=
=-
=
=-
--------
(
)
(
)
(
)
(
)
Total number of cases = 8
1
Probabilty of getting -7P7 =
8
3
Probabilty of getting -3P3 =
8
4
Probabilty of getting -1P1 =
8
731
134
888
X
X
X
x
PXx
éù
=-
ëû
éù
=-
ëû
éù
=-
ëû
---
=
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
4)
10.10
00.25
10.05
20.20
30.05
40.35
)
10.1000.2510.0520.2030.0540.35
0.100.050.40.151.4
1.9
xPXx
a
ExxPXx
---------------------------------
=
-
==
=-´+´+´+´+´+´
=-+++++
=
å
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
22
222222
)
10.1000.2510.0520.2030.0540.35
10.1000.2510.0540.2090.05160.35
0.100.050.80.455.6
7
b
ExxPXx
==
=-´+´+´+´+´+´
=´+´+´+´+´+´
=+++++
=
å
(
)
(
)
(
)
(
)
(
)
2
2
2
71.9
3.39
VarxExEx
=-
=-
=
5)
Probability that a particular game is wi
n (p) =0.5
Probability that a particulat game is no
t win(q) =1-p


----------------------------
(
)
=1-0.5

=0.5
Number of games20
)
Mean = np
=200.5
=10
b)
Standard deviation =

n
a
npq
=
´
´
=200.50.5

23
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