Question 448325: suppose we toss a fair coin eight times.determine the following probabilities for a binomial distribution with parameters n=8 and p=.5:
a.) the probability that excatly two of the eight tosses result in heads.
b) the probability that at most two of the eight tosses result in heads.
c) the probability that excatly five of the eight tosses result in heads.
d) the probability that at least two of the eight tosses result in heads.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! suppose we toss a fair coin eight times.determine the following probabilities for a binomial distribution with parameters n=8 and p=.5:
a.) the probability that exactly two of the eight tosses result in heads.
Ans: 8C2(1/2)^8 = 28/256
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b) the probability that at most two of the eight tosses result in heads.
Ans: binomcdf(8,0.5,2) = 0.1445
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c) the probability that exactly five of the eight tosses result in heads.
Ans: 8C5(1/2)^8 = 56/256
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d) the probability that at least two of the eight tosses result in heads.
Ans: 1 - binomcdf(8,0.5,1) = 0.9648
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Cheers,
Stan H.
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