Question
Determine whether the distribution is a discrete probability distribution.
A. No, because the sum of the probabilities is not equal to 1 .
B. No, because not all the probabilities are between 0 and 1 , inclusive.
C. Yes, because the sum of the probabifites is equal to 1 and each probability is between 0 and 1 , inclusive,
D. Yes, because the sum of the probabifities is ofual to 1.
A. No, because the sum of the probabilities is not equal to 1 .
B. No, because not all the probabilities are between 0 and 1 , inclusive.
C. Yes, because the sum of the probabifites is equal to 1 and each probability is between 0 and 1 , inclusive,
D. Yes, because the sum of the probabifities is ofual to 1.
Ask by Hampton Rodriquez. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The distribution is a discrete probability distribution because the sum of the probabilities is 1 and each probability is between 0 and 1, inclusive.
Solution
To determine whether the given distribution is a discrete probability distribution, we need to check two main conditions:
- The sum of all probabilities must equal 1.
- Each probability must be between 0 and 1, inclusive.
Let’s analyze the provided distribution:
Step 1: Check the sum of probabilities
Calculating the sum of the probabilities:
Step 2: Check the individual probabilities
Now, we check each probability:
All probabilities are between 0 and 1, inclusive.
Conclusion
Since both conditions are satisfied:
- The sum of the probabilities is equal to 1.
- Each probability is between 0 and 1, inclusive.
Thus, the correct answer is:
C. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
The answer is A. No, because the sum of the probabilities is not equal to 1. In the provided distribution, the probabilities sum up to 1 only when considering the valid probability values. However, in this case, all values except for P(50) are 0, which means it does not meet the standard criteria for a discrete probability distribution where the total must be equal to 1 while all probabilities lie between 0 and 1.
So, while it might look like it checks out, having a single probability at one point doesn’t fulfill the general requirement of distributing probabilities across various outcomes. It’s a little like having a pizza with just one topping – it might technically be pizza, but it’s not really what you’d call a proper feast!
