TomJerry said:Question :
The mfg of a random variate X is given by Mx(t) = 0.8 et + 0.2)11
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.i) Find the P(x>0)
ii) Find E[x2]
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.
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.
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.
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.
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.