A coin is flipped three times The random variable X represen

A coin is flipped three times. The random variable X represents the total number of Heads:

a) Classify random variable as discrete or continuous,

b) Define Probability Mass Function or Probability Density Function whichever applies, and

c) Construct the Cumulative Distribution Function.

Solution

a. The random variable X is a discrete random variables as it can only take the values: 0,1,2 and 3

b. Probability Mass Function:

X is a Binomial (3,0.5) variable, so

c. Cumulative distriubtion function: