What is the MGF for a random variate X with given parameters?

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In summary, the conversation is about finding the probability and expected value of a random variate X, given its moment generating function. The first question asks for the probability that X is greater than 0, while the second question asks for the expected value of X squared. Both of these questions are related to the given moment generating function, which may be incorrect as the original poster is uncertain about the notation used. The conversation ends with a request for help on how to approach the problem, which indicates that the individuals are struggling with the given task.
  • #1
TomJerry
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Question :
The mfg of a random variate X is given by Mx(t) = 0.8 et + 0.2)11
i) Find the P(x>0)
ii) Find E[x2]
 
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  • #2
TomJerry said:
Question :
The mfg of a random variate X is given by Mx(t) = 0.8 et + 0.2)11

Do you mean "mgf" ("moment generating function") and should that be
[itex](0.8e^t+ 0.2)^11[/itex] or [itex]0.8(e^t+ 0.2)^11[/itex]?

i) Find the P(x>0)
ii) Find E[x2]
You seem to have the wrong idea about this board. We don't do your homework for you. Show us what you know about this problem, what you have tried, and where you are stuck.
 
  • #3
hey , i have the same problem too, i don't know how to start at this. please help. just tell how to proceed.
 

Related to What is the MGF for a random variate X with given parameters?

1. What is a random variate X?

A random variate, denoted by X, is a numerical value that is generated from a random process or experiment. It is also known as a random variable and can take on values from a probability distribution.

2. What is the manufacturing process of a random variate X?

The manufacturing process of a random variate X involves simulating or generating values based on a given probability distribution. This can be done using various methods such as Monte Carlo simulation, inverse transform sampling, and rejection sampling.

3. How is the distribution of a random variate X determined?

The distribution of a random variate X is determined by the underlying probability distribution used in its manufacturing process. For example, if X is generated from a normal distribution, then its distribution will also be normal.

4. What is the purpose of using random variates in scientific research?

Random variates are used in scientific research to model and simulate real-world phenomena. They can help scientists make predictions, test hypotheses, and understand complex systems.

5. What are some common applications of random variates?

Random variates have a wide range of applications in fields such as statistics, physics, engineering, and finance. They are used in simulations, risk analysis, optimization, and machine learning, among others.

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