Trouble understanding PMF tables

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  • Thread starter Longines
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In summary, the conversation discusses a basic probability question involving Bayes theorem and the binomial distribution. The question is not an assignment, but a textbook question that the speaker needs help with. The speaker gives a hint for question (b), mentioning the law of total probability.
  • #1
Longines
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Hello all, I'm back with another basic probability question:

View attachment 3283

I know that it involves Bayes theorem somewhere, but I don't understand this question at all!

Note: This isn't an assignment question or anything like that, it's just a textbook question that I need help with.

Thank you
 

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  • #2
Hi,
Let's kick-off with question $(a)$. We have given that $X$ is a random variable such that conditionally on $\{U=u\}$, $X$ is binomial with parameters $(2,u)$.

Do you know the binomial distribution? If you do, you only need to apply it's PMF for question $(a)$.

Hint for question $(b)$: law of total probability.
 

FAQ: Trouble understanding PMF tables

What is a PMF table?

A PMF (Probability Mass Function) table is a mathematical representation of the probability distribution of a discrete random variable. It shows the possible values of the variable and their corresponding probabilities.

How do I read a PMF table?

To read a PMF table, you need to look at the columns that show the possible outcomes and their corresponding probabilities. The probabilities should add up to 1.00 (or 100%). You can use this table to calculate the probability of a specific outcome or to compare the probabilities of different outcomes.

What is the difference between a PMF table and a CDF table?

A PMF table shows the probabilities of each possible outcome, while a CDF (Cumulative Distribution Function) table shows the cumulative probabilities up to a certain value. In other words, a PMF table gives the probability of getting a specific outcome, while a CDF table gives the probability of getting a value equal to or less than a certain value.

How can I use a PMF table in my research?

A PMF table can be used to analyze data and make predictions about the likelihood of certain outcomes. It can also be used to compare the probabilities of different outcomes and identify patterns or trends in the data.

Can I create my own PMF table?

Yes, if you have a set of data and its corresponding probabilities, you can create your own PMF table. You can also use statistical software or online tools to generate a PMF table from your data.

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