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STAT 408
Spring 2009
Homework #5
(due Thursday, February 26, by 3:00 p.m.)
2.1 – 10
(a)
⋅
10
50
9
47
1
3
=
!
!
!
!
!
!
!
!
!
40
10
50
38
9
47
2
1
3
⋅
⋅
⋅
⋅
=
48
49
50
39
40
10
3
⋅
⋅
⋅
⋅
⋅
=
98
39
=
0.39796.
(b)
+
⋅
⋅
10
50
9
47
1
3
10
50
10
47
0
3
=
98
39
40
10
50
37
10
47
1
!
!
!
!
!
!
+
⋅
⋅
⋅
=
98
39
48
49
50
38
39
40
+
⋅
⋅
⋅
⋅
=
490
195
490
247
+
=
245
221
=
0.90204.
2.4 – 14
(a)
X
is
b
(8, 0.90),
Binomial distribution with
n
= 8
and
p
= 0.90;
(b)
(i)
P(X = 8)
=
( 29 ( 29
0
8
1
.
0
9
.
0
8
8
=
0.43046721;
(ii)
P(X
≤
6)
=
1 – P(X = 7) – P(X = 8)
=
( 29 ( 29 ( 29 ( 29
0
8
1
7
1
.
0
9
.
0
8
8
1
.
0
9
.
0
7
8
1


=
0.18689527;
(iii)
P(X
≥
6)
=
P(X = 6) + P(X = 7) + P(X = 8)
=
( 29 ( 29 ( 29 ( 29 ( 29 ( 29
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 Spring '08
 STEPANOV
 Statistics

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