please help, I am completely lost:

Does the table represent a discrete probability distribution?

x P(x) 2 0.138 4 0.092 6 0.431 8 0.216 10 0.123 Question 1 options:

Yes.

No, because 0P(x)1 is not true.

No, because P(x)=1 is not true.

Question 2 (1 point) Use the discrete probability distribution to answer the question.

x P(x) 0 0.10 1 0.18 2 0.28 3 0.22 4 0.16 5 0.02 6 0 7 0.04 What is the probability that x is at least 4?

Question 2 options:

0.780

0.060

0.220

0.940

Question 3 (1 point) Use the discrete probability distribution to answer the question.

x P(x) 0 0.14 1 0.24 2 0.18 3 0.22 4 0.14 5 0.02 6 0 7 0.06 What is the probability that x is between 2 and 5?

Question 3 options:

0.440

0.560

0.360

0.640

Question 4 (1 point) Use the discrete probability distribution to answer the question.

x P(x) 0 0.12 1 0.16 2 0.26 3 0.22 4 0.18 5 0.04 6 0 7 0.02 What is the mean of the probability distribution?

Question 4 options:

4.0

2.0

2.4

3.5

Question 5 (1 point) A certain gambling game has a 79/80 chance of losing $10 and a 1/80 chance of winning $60. What is the expected outcome for someone playing this game? Question 5 options:

$9.13

-$9.13

$10.63

-$10.63

Question 6 (1 point) Does the following experiment represent a binomial distribution?

A box of crayons has 8 different colored crayons (red, blue, green, yellow, orange, purple, brown, black). A crayon is randomly picked, whether or not the crayon has been used is recorded, and the crayon is replaced.

Question 6 options:

Yes.

No, because there are more than 2 outcomes.

No, because the number of trials is not fixed.

No, because the probability of each trial is not the same.

Question 7 (1 point) Does the following experiment represent a binomial distribution?

A box of crayons has 8 different colored crayons (red, blue, green, yellow, orange, purple, brown, black). A crayon is randomly picked, the color is recorded, and the crayon is replaced. This is repeated 5 times.

Question 7 options:

Yes.

No, because there are more than 2 outcomes.

No, because the number of trials is not fixed.

No, because the probability of each trial is not the same.

Question 8 (1 point) For a binomial probability distribution, the probability of success is 0.52. For 7 trials, what is the probability of exactly 5 successes? Round to 3 decimal places.

Question 9 (1 point) For a binomial probability distribution, the probability of success is 0.39. For 8 trials, what is the probability of exactly 3 successes? Round to 3 decimal places.

Question 10 (1 point) For a binomial probability distribution, the probability of success is 0.71. For 9 trials, what is the probability of exactly 6 successes? Round to 3 decimal places.