if you flip a coin 6 times, what is the best prediction possible for the number of times it will land on…
if you flip a coin 6 times, what is the best prediction possible for the number of times it will land on tails? times
Answer
Explanation:
Step1: Identify probability of tails
The probability of getting tails in a single - coin flip is $p=\frac{1}{2}$.
Step2: Use expected - value formula
The expected value $E(X)$ of a binomial distribution (coin - flipping is a binomial experiment) is given by $E(X)=n\times p$, where $n$ is the number of trials and $p$ is the probability of success on a single trial. Here, $n = 6$ (number of coin flips) and $p=\frac{1}{2}$ (probability of getting tails). So, $E(X)=6\times\frac{1}{2}$.
Step3: Calculate the result
$6\times\frac{1}{2}=3$.
Answer:
3