17 Fabricate a probability distribution and a cumulative pro

17. Fabricate a probability distribution and a cumulative probability distribution for a discrete variable with the following 4 values: Using your values, what would be the probability for a value of 30 or less?

Solution

The probability values are fabricated as shown such that sum of probabilities is 1.

Using this table,

Probability for a value of 30 or less = P(X = 10) + P(X = 20) + P(X = 30)

= 0.1 + 0.25 + 0.35

= 0.9

X	Probabiloty of X	Cummulative Probability
10	0.1	0.1
20	0.25	0.35
30	0.3	0.65
40	0.35	1