distribution a probability distribution, statistics homework help

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