5 Questions
What is the sample space for the Negative Binomial Distribution?
S = {(w1 , w2 ,. , wn ) : n ∈ {r, r + 1,.}, wn = s, wi ∈ {s, f }, i = 1, 2,. , n − 1; r − 1 of w1 , w2 ,. , wn−1 are s and remaining n − r of w1 , w2 ,. , wn−1 are f }
Which of the following best describes the Negative Binomial Distribution?
A distribution that models the number of failures before the r-th success in a sequence of independent Bernoulli trials
What does the random variable X represent in the Negative Binomial Distribution?
The number of failures before the r-th success
What is the probability of the event {X = x} for x ∈ {0, 1, 2, · · · } in the Negative Binomial Distribution?
P ({X = x}) = 0
What does the probability p represent in the Negative Binomial Distribution?
The probability of success in each trial
Test your understanding of the Negative Binomial and Geometric distributions with this quiz. Explore the concepts of success probability and the number of trials needed for a certain number of successes.
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