SOLUTION: x= P(x) = 0 0.68 1 0.2 2 0.06 3 0.04 4 0.02 Find P(X>1). Ans: 0.12. I don't understand how to find

Question 1189199: x= P(x) =
0 0.68
1 0.2
2 0.06
3 0.04
4 0.02
Find P(X>1). Ans: 0.12. I don't understand how to find the P. Shouldn't it be zero?
Found 2 solutions by Boreal, math_tutor2020:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It is not the probability is greater than 1, but rather that P(x>1)=1-P(x=0)-P(x=1)=1-0.68-0.2,and that is 0.12.
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

Given table:

X P(X)
0 0.68
1 0.2
2 0.06
3 0.04
4 0.02

P(X>1) is asking you to add up all of the probabilities in the second column that correspond to X values larger than 1.

So we'll add up these probabilities: {0.06, 0.04, 0.02} since they correspond to X = 2 through X = 4.

0.06+0.04+0.02 = 0.12

That's why P(X>1) = 0.12
There's a 12% chance of X being larger than 1.

As the tutor Boreal pointed out, you can take a (slight) shortcut in adding the probabilities for X = 0 and X = 1, then subtracting that sum from 1. This is because P(A) + P(B) = 1 where A is the event of getting X to be 0 or 1; while B is the event of getting X > 1. One or the other must happen. The events are complementary. We can rearrange that previous equation into P(B) = 1 - P(A).

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