Question

1. if bianca rolled 22 sixes, then what would be the most likely amount of times she rolled her die? 2. if someone rolled their die 30 times and got 18 sixes, would you consider that an outlier? 3. if peter rolled a die 180 times, how many sixes would you expect him to get?

Explanation:

Step1: Identify probability of getting a six on a single - roll

The probability of getting a six on a single roll of a fair die is $p=\frac{1}{6}$.

Step2: Solve for expected number of sixes when die is rolled 180 times

The expected value formula for a binomial distribution is $E(X)=np$, where $n$ is the number of trials and $p$ is the probability of success on a single trial. Here, $n = 180$ and $p=\frac{1}{6}$. So, $E(X)=180\times\frac{1}{6}=30$.

Answer:

30