Question 1080649:
An unfair coin has a probability 𝑝 = 0.13 of landing on heads when flipped. The coin is flipped 𝑛 = 8 times, and the proportion of heads is recorded. If this experiment is repeated many times, what are the mean 𝜇 and standard error 𝜎 of the distribution of the sample proportions?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An unfair coin has a probability 𝑝 = 0.13 of landing on heads when flipped. The coin is flipped 𝑛 = 8 times, and the proportion of heads is recorded. If this experiment is repeated many times, what are the mean 𝜇 and standard error 𝜎 of the distribution of the sample proportions?
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E(# of heads) = n*p = 8*0.13 = 1.04
std = sqrt(n*p*q) = sqrt(1.04*0.87) = 0.9512
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Cheers,
Stan H.
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