Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:

a. Not binomial: there are too many trials.

b. Not binomial: there are more than two outcomes for each trial.

c. Not binomial: the trials are not independent.

d. Procedure results in a binomial distribution.

Question

Mathematics

Enrique Bean

25 August, 18:33

Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:

a. Not binomial: there are too many trials.

b. Not binomial: there are more than two outcomes for each trial.

c. Not binomial: the trials are not independent.

d. Procedure results in a binomial distribution.

+2

Answers (1)

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Zack Valenzuela · Answer 1

Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:

Answer: The correct option is d. Procedure results in a binomial distribution.

Explanation: The binomial distribution should follow the below assumptions

The given random experiment has fixed number of trials. Here in the given random experiment there are 6 trials.

There are only two outcomes, labelled as "winning" and "losing". The probability of outcome "winning" is the same across the fixed trials. Here in the given example, we have an experiment, which has only two outcomes, either winning or losing. Also, the probability of winning across all the six trials.

The trials are independent. Here in the given experiment each trial is independent of other trial.

From the above consideration, we can clearly say that the given procedure follows binomial distribution.