A binomial experiment has 5 trials in which p=0.7. What is the probability of getting at least 2 successes?

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Step:1 ：Calculate the probabilities for k=2, 3, 4, 5 using the binomial probability formula: (P(X=k) = binom{n}{k} p^k (1-p)^{n-k})Step:2 ：Sum the probabilities: (P(X geq 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5))Step:3 ：boxed{0.96922}

Answer

Step: 1 ：Calculate the probabilities for k=2, 3, 4, 5 using the binomial probability formula: (P(X=k) = binom{n}{k} p^k (1-p)^{n-k})Step: 2 ：Sum the probabilities: (P(X geq 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5))Step: 3 ：boxed{0.96922}

A binomial experiment has 5 trials in which $p=0.7$. What is the probability of getting at least 2 successes?

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