i e the distribution of X is
xi
P(xi)
xi P(xi)
0
4
4
0
2
C
 3
 
 
 
 
 
0
1
3
4
1
2
1
C
3
  3
 
  
 
  
 
3
4
1
2
1
C
3
3
 
  
 
 
  
 
 
  
 
© NCERT
not to be republished
 580
MATHEMATICS
2
2
2
4
2
2
1
C
3
3
 
 
 
 
 
 
 
 
 
2
2
4
2
2
1
2
C
3
3
 
 
 
 
 
 
 
 
  
 
 
 
  
3
3
4
3
2
1
C
3
3
 
  
 
 
  
 
 
  
 
3
4
3
2
1
3
C
3
3
 
 
  
 
  
 
 
 
  
 
 
 
4
4
4
4
1
C
 3
 
 
 
 
 
4
4
4
1
4
C
3
 
 
 
 
 
 
 
 
 
 
 
 
Now Mean (μ) =
4
1
(
)
i
i
i
x p x
=∑
=
3
2
2
4
4
1
2
2
1
2
1
0
C
2
C
3
3
3
3
⎛
⎞ ⎛
⎞
⎛
⎞ ⎛
⎞
+
+ ⋅
⎜
⎟ ⎜
⎟
⎜
⎟ ⎜
⎟
⎝
⎠ ⎝
⎠
⎝
⎠ ⎝
⎠
+
3
4
4
4
3
4
2
1
1
3
C
4
C
3
3
3
 
  
 
 
 
 
 
 
 
  
 
 
 
 
  
 
 
 
=
3
2
4
4
4
4
2
2
2
1
4
2
6
3
4
4 1
3
3
3
3
×
+
×
×
+
×
×
+
× ×
=
4
32
48
24
4
108
4
81
3
3
+
+
+
=
=
Example 35 The probability of a shooter hitting a target is 3
4 How many minimum
number of times must he/she fire so that the probability of hitting the target at least
once is more than 0