Find the probability of exactly three successes in eight trials of a binomial experiment in which the probability of success is 45%. P(3) = \text{ }_{8}C_{3}(0.45)^{3}(0.55)^{8-3} Solve part of the answer. \text{ }_{8}C_{3} = [?]
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45)^3 (0.55)^(8-3) = 8C3 (0.45)^3 (0.55)^5. Show more…
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Find the probability of $x$ successes in $n$ trials for the given probability of success $p$ on each trial. $$ x=4, n=8, p=0.3 $$
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Binomial with n = 8 and p = 0.25 P(X = 0) = 0.100113 P(X = 1) = 0.266968 P(X = 2) = 0.311462 P(X = 3) = 0.207642 P(X = 4) = 0.086517 P(X = 5) = 0.023071 P(X = 6) = 0.003845 P(X = 7) = 0.000366 P(X = 8) = 0.000015 What is the probability of exactly 3 successes? What is the probability of 4 or more successes? What is the probability of 2 or less successes?
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