ramkin is going to flip a fair coin 1200 times. what is the best prediction for the number of times that the…

ramkin is going to flip a fair coin 1200 times. what is the best prediction for the number of times that the coin will land heads up? choose 1 answer: a exactly 50 times b close to 50 times but probably not exactly 50 times c exactly 600 times d close to 600 times but probably not exactly 600 times

ramkin is going to flip a fair coin 1200 times. what is the best prediction for the number of times that the coin will land heads up? choose 1 answer: a exactly 50 times b close to 50 times but probably not exactly 50 times c exactly 600 times d close to 600 times but probably not exactly 600 times

Answer

Explanation:

Step1: Determine probability of heads

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

Step2: Calculate expected number of heads

The expected value $E(X)$ of the number of heads in $n = 1200$ flips is given by $E(X)=n\times p$. Substituting $n = 1200$ and $p=\frac{1}{2}$, we get $E(X)=1200\times\frac{1}{2}=600$. But in a real - world experiment of coin - flipping, due to randomness, we are likely to get a number close to 600 but not exactly 600.

Answer:

D. Close to 600 times but probably not exactly 600 times