Using the binomial distribution, it is found that she should expect it to land on 3 9 times.
What is the binomial probability distribution?
It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem:
- The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.
- There will be 36 trials, hence n = 36.
Then, the expected value is given by:
E(X) = np = 36 x 0.25 = 9.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
