Okay so for the question I'm posting has a pic with it but idk how I can attach it so you guys can see it because I know you'll need it to help me out cause I've been stuck on this question for awhile so please any kind of help would be great(:
Which statements explain that the table does not represent a probability distribution?
Select each correct answer.
The probabilities are a mix of fractions and decimals.
The sum of the probabilities is 2/3
.
The probability −1/3
is less than 0.
The results are all greater than 1.
again I don't have a good clue on what the answer might be I'm very stuck :(
We have to see the table.
I do know that a probability is always between 0 and 1.
It looks like the only possible answer is 2/3.
That is just a guess.
for a probability table, the sum of all the probabilities must equal 1.0
In order to determine which statements explain that the table does not represent a probability distribution, we need to understand the characteristics of a probability distribution.
A probability distribution is a function that assigns probabilities to each possible outcome of a random variable. It must satisfy the following conditions:
1. The probabilities must be non-negative: This means that all probabilities in the table should be greater than or equal to 0.
2. The sum of the probabilities must be 1: The probabilities of all possible outcomes together must sum up to 1.
Now let's analyze each statement to see if it violates any of these conditions.
Statement 1: "The probabilities are a mix of fractions and decimals."
This statement alone does not necessarily mean that the table does not represent a probability distribution. It is possible to have a mix of fractions and decimals as probabilities, as long as they satisfy the other conditions of a probability distribution.
Statement 2: "The sum of the probabilities is 2/3."
This statement suggests that the sum of the probabilities is not equal to 1, which violates the condition for a probability distribution. Therefore, this statement indicates that the table does not represent a probability distribution.
Statement 3: "The probability -1/3 is less than 0."
This statement suggests that one of the probabilities is negative, which violates the non-negativity condition for a probability distribution. Therefore, this statement indicates that the table does not represent a probability distribution.
Statement 4: "The results are all greater than 1."
The statement does not directly explain whether the table represents a probability distribution. However, if the "results" mentioned here refer to the probabilities, and all probabilities are greater than 1, then it violates the non-negativity condition for a probability distribution. Therefore, this statement may indicate that the table does not represent a probability distribution.
Based on our analysis, statements 2 and 3 suggest that the table does not represent a probability distribution. Therefore, the correct answers are:
- The sum of the probabilities is 2/3.
- The probability -1/3 is less than 0.