shun is going to flip a fair coin 450 times. complete the following statement with the best prediction. the…

Explanation:

Step1: Calculate probability of tails

For a fair - coin, the probability of getting tails in a single flip is $p=\frac{1}{2}$.

Step2: Calculate expected number of tails

The expected number of tails $E(X)$ in $n = 450$ flips is given by the formula $E(X)=n\times p$. Substituting $n = 450$ and $p=\frac{1}{2}$, we get $E(X)=450\times\frac{1}{2}=225$.

Step3: Consider nature of probability

In probability, when we perform a large - number of trials, the actual number of successes (in this case, tails) is close to the expected value, but it is very unlikely to be exactly equal to the expected value due to randomness.

Answer:

D. Close to 225 times but probably not exactly 225 times