Question

You play football three, two, one, or zero days a week. Let us call this event as X. Randomly assign the probability to each event considering the basic two properties of discrete probability distribution and calculate the expected value, variance and standard deviation for the probability distribution which you have chosen.

Answer 1

X is the random variable indicating the number of times I play football in a week

X can take the following values - 0, 1, 2, 3

The probability of each of these events should belong to [0,1] and the sum of all the probabilities should be 1.

Given these conditions, let us assign random values to the P(X = x)

P(X = 0) = 0.1

P(X = 1) = 0.4

P(X = 2) = 0.3

P(X = 3) = 0.2