Answer:
the result for Outcome A was 6 more than expected (A)
Step-by-step explanation:
Given:
The binomial model has two outcomes that have the same probability of occurring.
n= number of trials = 60 trials
After the experiment, the researcher found that Outcome A occurred 36 times. This implies the experimental probability of outcome A = 36times
In a binomial distribution, there is a fixed number of trials = n.
There are only two possible outcome in a trial: a success and a failure.
When n= 1
Let p = the probability of a success = 0.5
q = the probability of a failure = 0.5
The sum of the probability of a success and failure = 1
p + q = 0.5+0.5 = 1
The theoretical probability is what you expect to happen, but it isn't always what actually happens when the experiment is carried out
The theoretical probability of success for 1 trial = The theoretical probability of failure for 1 trial= 0.5
when n = 60trials
The theoretical probability of outcome A = The theoretical probability of outcome B = 1/2 (60) = 30times
But the experimental probability of outcome A = 36times
This means that the experimental outcome of A = 6 more than the theoretical probability of outcome A
36 = 30 + 6
Therefore, the result for Outcome A was 6 more than expected (A)
