In: Math
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.