For the following probability distribution

Thread starter TomJerry
Start date Jan 2, 2011
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Distribution Probability Probability distribution

In summary, A probability distribution is a mathematical function that assigns probabilities to all possible outcomes of an experiment or event. It allows us to understand and predict the likelihood of different outcomes, and can be calculated by dividing the number of outcomes of interest by the total number of possible outcomes. There are two types of probability distributions, discrete and continuous, and they are useful in many real-life situations including predicting the weather and making business decisions.

Jan 2, 2011

TomJerry

Question :
For the following probability distribution
X | -1 | 0 | 1 |
Y |
0 | 1/15 |2/15|1/15|
1 | 3/15 |2/15|1/15|
2 | 2/15 |1/15|1/15|

Find
i )The conditional distribution of X given Y=2

Solution

f(x|2) = f(x,2) / h(2)

How do i go about this without knowing f(x,2)

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Jan 2, 2011

statdad

Homework Helper

You have the joint distribution of the two variables so you can obtain f(x,2).

1. What is a probability distribution?

A probability distribution is a mathematical function that assigns probabilities to all possible outcomes of an experiment or event. It shows the likelihood of each potential outcome occurring.

2. What is the purpose of a probability distribution?

A probability distribution allows us to understand and predict the likelihood of different outcomes in a given scenario. It is a fundamental tool in statistics and helps us make informed decisions based on the probability of certain events occurring.

3. How do you calculate the probabilities in a probability distribution?

The probabilities in a probability distribution are calculated by dividing the number of outcomes of interest by the total number of possible outcomes. This can also be represented using fractions, decimals, or percentages.

4. What is the difference between a discrete and continuous probability distribution?

A discrete probability distribution represents outcomes that are distinct and separate, such as rolling a dice or flipping a coin. A continuous probability distribution represents outcomes that can take any value within a certain range, such as the height of individuals.

5. How is a probability distribution useful in real life?

A probability distribution is useful in real life in many ways, such as predicting the weather, analyzing stock market trends, and making decisions in business and economics. It also helps us understand and evaluate risk, and make informed choices in everyday situations.