A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is not given, identify the requirements that are not satisfied. Probability Distribution 0 1 2 3 0 0.1 0.2 0.3 0.4 0.5 P(x)

Does the table show a probability distribution? Select all that apply.
A.
Yes, the table shows a probability distribution.
B.
No, the sum of all the probabilities is not equal to 1.
C.
No, the random variable x's number values are not associated with probabilities.
D.
No, the random variable x is categorical instead of numerical.
E.
No, not every probability is between 0 and 1 inclusive.

x P(x)
0 0.092
1 0.338
2 0.418
3 0.152

Given that a sociologist randomly selects single adults for different groups of three. And the random variable x is the number in the group who say that the most fun way to flirt is in person.

Since sample size is only 3, x cannot be more than 3.

So x can take values as 0 1 2 3

Prob distribution is given as

x P(x)

0 0.092

1 0.338

2 0.418

3 0.152

We find that x values are from 0 to 3.

Each probability is positive but less than 1.

Also total probability = 1

So this is a perfect probability distribution.

A.

Yes, the table shows a probability distribution.