Question

Consider a random sample X1, X2, X3, X4 of size 4 of independent and identically distributed observations from X? (1) Use the method of moment generatin distribution of U = x + x2 + x3 + x4 Format Tools Table What kind of a random variable is U?

Answer 1

The random variable X represents the individual observations in the random sample, and it follows the continuous Uniform distribution on the interval (0,1).

Step-by-step explanation:

a. In words, define the random variable X: The random variable X represents the individual observations in the random sample.

b. List the values that X may take on: The values that X can take on are the observed values in the random sample.

c. Give the distribution of X: Since the random sample comes from a random variable X~U(0,1), the distribution of X follows the continuous Uniform distribution on the interval (0,1).