A Gallup Poll showed that 44% of Americans are satisfied withthe way things are going in the United States. Suppose a sample of25 Americans are selected. Based on this information, generate acumulative 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 aresatisfied with the way things are going.
Find the probability that exactly 15 Americans are not satifiedwith the way things are going.
Find the probability that the number of Americans who aresatified with the way things are going differs by greater than 2from the mean.
Find the probability that greater than 4 Americans are satifiedwith the way things are going.
Find the probability that at least 17 Americans are not satifiedwith the way things are going.
Find the probability that no more than 5 Americans are satifiedwith the way things are going.
Find the probability that more than 25% but at most 50% of theseAmericans are satified with the way things are going.