Question

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Spinning a roulette wheel 7 times, keeping track of the winning numbers.

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Answer 1

No, this procedure does not result in a binomial distribution because the following two conditions of a binomial distribution are not met:

1. Each trial must have only two possible outcomes (success or failure).

2. The trials must be independent of each other.

In the given procedure, there are more than two possible outcomes on the roulette wheel, so it does not meet the first condition. Additionally, the outcomes of each spin are not independent of each other, as the winning number on one spin may affect the probability of winning on subsequent spins. Therefore, this procedure does not result in a binomial distribution.