1.) Scenario: Digital Channel There is a chance that a bit transmitted through a digital transmission channel is received in error. Let X equal the number of bits in error in the next four bits transmitted. The possible values for X are {0, 1, 2, 3, 4}. Based on a model for the errors, probabilities for these values are determined. Suppose that the probabilities are: P(x=0) = 0.6561 P(x=1)= 0.2916 P(x=2) = 0.0486 P(x=3) = 0.0036 P(x=4) = 0.0001 a. Construct a probability distribution. b. Present the probability distribution graphically. c. Solve for the expected value and the standard deviation of the probability distribution.(Show in Tabular form)