Question 1: State the term marginal densities.
Question 2: Describe the conditional PDF and its respective properties.
Question 3: Define mean or average or expected value of a random variable. Describe how it is computed for continuous and discrete random variables.
Question 4: Describe variance and standard deviation of the random variable.
Question 5: Define random process and describe ensemble and sample function.
Question 6: Describe ensemble and time averages.
Question 7: Describe the stationary random procedure with the help of one illustration.
Question 8: Illustrate the term ergodic process. Describe the difference between ergodic and stationary process.
Question 9: A box includes 2 White, 3 black and 4 Red balls. Three balls are drawn in succession. Determine the probability that they are of:
a) Different colors
b) Same color.
Question 10: Two fair dice are thrown. X symbolizes the total of the number of the two dice. Determine the probability function and distribution function of X.