probability distribution

Question

The probability distribution for a random variable x is given in the table.

X: -5,-3,-2,0,2,3

Probability: .17, .13, .33, .16, .11, .10

find the probability that x≤-3

Answer 1

Since we have a complete distribution here (probabilities sum to 1), the probability that x takes on a value less than or equal to -3 will be the sum of the probabilities that x = -5 and x = -3 (since those are the only two values in the distribution that are less than or equal to -3. That would be .17 plus .13, which would be 0.3.