Properties of a Binomial Distribution

Question

Determine whether the given procedure meets the criteria of a binomial distribution. If not, identify at least one requirement that is not satisfied.

Spinning a roulette wheel nine times and recording the number of times the ball lands on black.

Answer 1

There are three colors on a roulette wheel but we are asked to examine the probability of black and not black.

1. Fixed number of trials = 9
2. Trials are independent, YES; what the wheel landed on for example in spin #8 does not affect spin # 9
3. Two outcomes: black and not black. YES
4. The probability of each outcome is the same for each trial YES.