SOLUTION: If a die is rolled 12 times, what is the probability that it will land on 4, six out of the 12 trials? a) What is the answer for x and n? b) What is the mean, variance, and s

Question 1050594: If a die is rolled 12 times, what is the probability that it will land on 4, six out of the 12 trials?
a) What is the answer for x and n?
b) What is the mean, variance, and standard deviation for this binomial experiment?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If a die is rolled 12 times, what is the probability that it will land on 4, six out of the 12 trials?
Binomial Problem with n = 12 and p = 1/6
P(x = 6) = 12C6*(1/6)^6*(5/6)^6 = binompdf(12,1/6,6) = 0.0066
What is the answer for x and n?
b) What is the mean, variance, and standard deviation for this binomial experiment?
mean = n*p = 12*(1/6) = 2
variance = n*p*q = 2(5/6) = 5/3
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std = sqrt(n*p*q) = sqrt(5/3) = 1.2910
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Cheers,
Stan H.

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