Using the binomial distribution, the statement that best predicts how many times the coin will land tails up is:
D. Close to 225 times but probably not exactly 225 times.
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
For this problem, considering a fair coin, the parameters are given as follows:
p = 0.5, n = 450.
The expected value is given by:
E(X) = 450 x 0.5 = 225.
It means that the best prediction is close to 225, but may not be exactly 225, hence the correct statement is:
D. Close to 225 times but probably not exactly 225 times.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
