Find the error Discrete General Discrete random variable. N/A Uniform alower Imi

Question

Find the error

Discrete General Discrete random variable. N/A Uniform alower Imit bupper lim number ofevents In the sample set xRandom variable wihh each of the n values in (4) = its range, x, x· having an equal probablity of occurring. 2 = np (1-p) Random variable equaling the number of tria: probability ofgoal (success! | that result in a goal (success from atotal of n trials Binomial X f(x) = C: p"(1-p) on each trial n total number oftrlab f(x-(1-p)"-"p Random variable equaling the number of triak | until the first goal [success trial. probablity ofgoal (success} | X on each trial Negative Binomlal |X2 Random variable equaling the number of triak | pe probability of Boal (success) | until ()soal (success)events occur. f(x)-C 1-p)"-"pr for each tria number of goal (success) HypergeometricXRandom variable equaling the number of goals N total number of samplesn C CAT f(x) successes) In a semple size [n) (sampled without replacement) from a total number ofKnumber of samples classiied objects 0) containing number of objects classifled as fallures K) as falures n number of sampled items p-K/N Probability of pullrga l falure)sample tem xRandom varlable equaling the number of average number of events events in Pobson Process with parameter al In a siven Interval T per Interva TInterval velue

Explanation / Answer

Ans:

These are the corrections:

(variances are given wrong for uniform and Negative Binomial distribution)

For uniform distribution:

variance=(b-a)2/12

For Negative binomial distribution:

Variance=rp/(1-p)2

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