Question

The table gives a set of outcomes and their probabilities. Let A be the event the outcome is greater than 4". Find P(not A). Outcome Probability 1 0.19 2 0.42 3 0.01 4 0.16 5 0.22

Answer 1

Probabilities

We are given the probabiity distribution:

x = {1,2,3,4,5}

P(x) = {0.19 , 0.42 , 0.01 , 0.16 , 0.22}

The event A is defined as "The outcome x is greater than 4"

Thus:

A = {5}

And the probability is

P(A)= 0.22

We need to find the probability of P(not A). The negate probaility is:

P(not A) = 1 - P(A)

P(not A) = 1 - 0.22

P(not A) = 0.78