Please help!! You roll a die as your friend records the outcomes. You rolled the die 20 times and 11 rolls were 3. Is this normal? Why or why not

No, this is not normal

This is a binomial distribution. Use BINS to determine if this is binomial.
B - binary?
I - independent?
N - number of trials
S - probability of success

B - yes, 3 or not a 3
I - yes, past rolls do not impact future rolls
N - 20 trials
S - prob success 1/6

Use binompdf on your calculator to find out the probability. To access, 2nd —> vars —> binompdf

Binompdf(20 (trials), 1/6 (p), 11 (x)) = 8.97x10^-5

The probability to roll a 3 11 times is .0000897. The chances are very low, making this not normal.