Respuesta :
Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.
What is the binomial probability distribution?
It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem:
- She wants 23 successes, hence q = 23.
- Of the six numbers on the cube, three are even, hence the probability of a success on a trial is of p = 3/6 = 0.5.
Then:
[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]
She should expect to roll the number cube 46 times.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
