The negative binomial probability distribution can be used to compute the probability of the random variable X,
Question:
P(x) = (x - 1Cr - 1)pr(1 - p)x - r
x = r, r + 1, r + 2, . . .
Consider a roulette wheel. Remember, a roulette wheel has 2 green slots, 18 red slots, and 18 black slots.
(a) What is the probability that it will take x = 1 trial before observing r = 1 green?
(b) What is the probability that it will take x = 20 trials before observing r = 2 greens?
(c) What is the probability that it will take x = 30 trials before observing r = 3 greens?
(d) The expected number of trials before observing r successes is r/p. What is the expected number of trials before observing 3 greens?
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Since there are 38 slots on the roulettewheel ...View the full answer
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Related Book For 
Statistics Informed Decisions Using Data
ISBN: 9780134133539
5th Edition
Authors: Michael Sullivan III
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