Binomial n 25 p 0.33 xi P(X<=xi) 0 0.0000 1 0.0006 2 0.0039 3 0.0162 4 0.0496 5
ID: 3071608 • Letter: B
Question
Binomial
n
25
p
0.33
xi
P(X<=xi)
0
0.0000
1
0.0006
2
0.0039
3
0.0162
4
0.0496
5
0.1187
6
0.2321
7
0.3837
8
0.5518
9
0.7081
10
0.8314
11
0.9141
12
0.9617
13
0.9851
14
0.9950
15
0.9985
16
0.9996
17
0.9999
18
1.0000
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 more than 6 Americans are satisfied with the way things are going. Round to the fourth decimal.
Binomial
n
25
p
0.33
xi
P(X<=xi)
0
0.0000
1
0.0006
2
0.0039
3
0.0162
4
0.0496
5
0.1187
6
0.2321
7
0.3837
8
0.5518
9
0.7081
10
0.8314
11
0.9141
12
0.9617
13
0.9851
14
0.9950
15
0.9985
16
0.9996
17
0.9999
18
1.0000
19
1.0000
20
1.0000
21
1.0000
22
1.0000
23
1.0000
24
1.0000
25
1.0000
Explanation / Answer
Solution :
Given that n = 25 , p = 0.33
=> P(x <= 6) = 0.2321 (By using table)
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