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A Gallup Poll showed that 44% of Americans are satisfied with the way things are going...

A Gallup Poll showed that 44% of Americans are satisfied with the way things are going in the United States. Suppose a sample of 25 Americans are selected. Based on this information, generate a cumulative binomial probability.

Binomial
n 25
p 0.44
xi P(X<=xi)
0 0.0000
1 0.0000
2 0.0001
3 0.0007
4 0.0031
5 0.0112
6 0.0323
7 0.0773
8 0.1569
9 0.2750
10 0.4235
11 0.5826
12 0.7285
13 0.8431
14 0.9203
15 0.9647
16 0.9866
17 0.9956
18 0.9988
19 0.9997
20 1.0000
21 1.0000
22 1.0000
23 1.0000
24 1.0000
25 1.0000

Find the probability that no less than 10 Americans are satisfied with the way things are going.

Find the probability that exactly 15 Americans are not satified with the way things are going.

Find the probability that the number of Americans who are satified with the way things are going differs by greater than 2 from the mean.

Find the probability that greater than 4 Americans are satified with the way things are going.

Find the probability that at least 17 Americans are not satified with the way things are going.

Find the probability that no more than 5 Americans are satified with the way things are going.

Find the probability that more than 25% but at most 50% of these Americans are satified with the way things are going.

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