Question

The probability distribution for a

random variable x is given in the table.
х
-5
-3
-2
0
2
3
Probability
.17
:13
.33
.16
.11
.10
Find the probability that x<-3

Answer 1

Answer: 0.17

This is the probability that corresponds to x = -5, which is less than x = -3, and it's the only x value of the list smaller than -3. There's not much else to say about this.

If we wanted to find something like P(X < -2), then we would add up the probabilities for x = -5 and x = -3 to get 0.17+0.13 = 0.30