distribution a probability distribution, statistics homework help
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1.Is the following distribution a probability distribution? Check all answers that apply.
|
X |
2 |
5 |
6 |
8 |
|
|
P(X) |
0.1 |
0.2 |
0.5 |
0.2 |
|
|
Yes. |
|||||
|
No, because one of the probabilities is greater than one. |
|
|
No, because the sum of the probabilities is different than one. |
|
No, because at least one of the probabilities is less than zero. |
2.Is the following distribution a probability distribution? Check all answers that apply.
|
X |
1 |
2 |
3 |
4 |
5 |
6 |
|
|
P(X) |
0.3 |
0.2 |
0.1 |
1.1 |
0.3 |
0.6 |
|
|
Yes. |
|||||||
|
No, because at least one of the probabilities is greater than one. |
|
|
No, because the sum of the probabilities is different than one. |
|
No, because at least one of the probabilities is less than zero. |
3.Is the following distribution a probability distribution? Check all answers that apply.
|
X |
0.2 |
0.5 |
0.3 |
|
|
P(X) |
1 |
3 |
5 |
|
|
Yes. |
||||
|
No, because at least one of the probabilities is greater than one. |
|
|
No, because the sum of the probabilities is different than one. |
|
No, because at least one of the probabilities is less than zero. |
4. Is the following distribution a probability distribution? Check all answers that apply.
|
X |
1 |
2.3 |
3 |
4 |
9 |
|
|
P(X) |
-0.3 |
1.3 |
0 |
0 |
0 |
|
|
Yes. |
||||||
|
No, because at least one of the probabilities is greater than one. |
|
|
No, because the sum of the probabilities is different than one. |
|
No, because at least one of the probabilities is less than zero |
5. Identify the given random variable as being discrete or continuous.
RV: The number of people driving a car in the United States.
|
Continuous |
|
|
Discrete |
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