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Binomial distribution
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For a binomial distribution with a sample size equal to 3 and a probability of a success equal to 0.65, what is the probability that the sample will contain exactly two successes? Use the binomial formula to determine the probability.
The probability that the sample will contain exactly two successes is____.
(Round to four decimal places as needed.)
X~Binomial(3,0.65)
P(X=2) = 3C2 0.65^2 * (1-0.65)^1
= 3*0.65^2 * (1-0.65)
=0.4436
For a binomial distribution with a sample size equal to 3 and a probability of a success equal to 0.65, what is the probability that the sample will contain exactly two successes? Use the binomial formula to determine the probability.
The probability that the sample will contain exactly two successes is____.
(Round to four decimal places as needed.)
X~Binomial(3,0.65)
P(X=2) = 3C2 0.65^2 * (1-0.65)^1
= 3*0.65^2 * (1-0.65)
=0.4436
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