Binomial n 25 p 0.36 xi P(X<=xi) 0 0.0000 1 0.0002 2 0.0016 3 0.0074 4 0.0255 5
ID: 3071610 • Letter: B
Question
Binomial
n
25
p
0.36
xi
P(X<=xi)
0
0.0000
1
0.0002
2
0.0016
3
0.0074
4
0.0255
5
0.0682
6
0.1483
7
0.2705
8
0.4252
9
0.5896
10
0.7376
11
0.8510
12
0.9255
13
0.9674
14
0.9876
15
0.9959
16
0.9989
17
0.9997
18
0.9999
19
1.0000
20
1.0000
21
1.0000
22
1.0000
23
1.0000
24
1.0000
25
1.0000
Use the cumulative binomial probability excel output above (dealing with the number of Americans who are satisfied with the way things are going in the U.S.) to answer the following question.
Find the probability that no less than 10 Americans are satisfied with the way things are going.
Binomial
n
25
p
0.36
xi
P(X<=xi)
0
0.0000
1
0.0002
2
0.0016
3
0.0074
4
0.0255
5
0.0682
6
0.1483
7
0.2705
8
0.4252
9
0.5896
10
0.7376
11
0.8510
12
0.9255
13
0.9674
14
0.9876
15
0.9959
16
0.9989
17
0.9997
18
0.9999
19
1.0000
20
1.0000
21
1.0000
22
1.0000
23
1.0000
24
1.0000
25
1.0000
Explanation / Answer
P(No less than 10 Americans are satisfied with the way things are going)
= P(X > 10)
= 1 - P(X < 10)
= 1 - P(X < 9)
= 1 - 0.5896
= 0.4104
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