A binomial model shows that two outcomes have the same probability of occurring. In an experiment with 60 trials to test this model, the researcher found that Outcome A occurred 36 times. How did the experimental outcome compare to the theoretical model? A. The result for Outcome A was 6 more than expected. B. Outcome B occurred 36% of the time rather than the expected 50%. C. The result for Outcome B was 4 less than expected. D. Outcome A had an expected probability of 50% but an actual probability of 36%. Please explain how to get the 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)

step-by-step explanation:

their are no angles. sorry cant .

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.