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mr Goodwill [35]
3 years ago
8

Find the probability of atleast three successes in six trials of a binomial experiment in which the probability of success is 50

%.
Mathematics
1 answer:
yan [13]3 years ago
7 0

The binomial cumulative probability with p=0.5 for 3+ successes is as follows:

P(3+)=\sum_{k=3}^6 {{6}\choose{k}}p^k(1-p)^{6-k}

for p=0.5 (50% success rate) it becomes:

P(3+)=\sum_{k=3}^6 {{6}\choose{k}}0.5^6=\frac{21}{32}=0.65625

the probability is 0.65625, or about 66%


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