Question

Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 77 times and recording the number the ball lands on.

Answer 1

conditions for binomial distribution is that

1)there should be only two outcomes , one is success and other is failure.

2) there is fixed number of trials

3) trials are independent of each other

4)probability of success in each trial is same.

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but here, American roulette wheel has more than 2 outcomes which violates the conditions for binomial distribution.

All other conditions are satisfied.

So, Binomial distribution cannot be applied here,
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if we keep track of winning numbers, the ball lands on, then only, it can be binomially distributed.