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Lynne is rolling a six-sided number cube repeatedly. Her goal is to roll an even number 23 times. How many times should Lynne expect to have to roll the number cube to result in an even number 23 times? Enter your answer in the box to correctly complete the statement

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

Answer:

answer is 46.

Step-by-step explanation:

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