cumulative probability distribution
A binomial distribution is known to have the following cumulative probability distribution: Pr[X ≤0] = 1/729, Pr[X ≤l] = 13/729, Pr[X ≤2] = 73/729, Pr[X ≤3] = 233/729, Pr[X ≤4] = 473/729, Pr[X ≤5] = 665/729, Pr[X≤6] = 1.0000.
a) What is n, the number of trials?
b) Find p and q, the probabilities of success and failure.
c) Verify that with these values of n, p and q the cumulative probabilities are as stated.
d) What is the probability that the number of successes, r, lies within one standard deviation of the mean?
e) What is the coefficient of variation?
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Posted 21 Oct 2017 08:10 PM
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