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For n=5 andπ =0.11 , what is P(X=0) ?

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Final answer:

To find the probability of having 0 successes in 5 trials with π=0.11, use the binomial distribution formula.

Step-by-step explanation:

To find P(X=0), we need to use the given values of n=5 and π=0.11. In this case, P(X=0) represents the probability of having 0 successes in 5 trials. We can use the binomial distribution formula to calculate this probability:

P(X=0) = (nC0) * π^0 * (1-π)^(n-0)

Using the values n=5 and π=0.11:

P(X=0) = (5C0) * 0.11^0 * (1-0.11)^(5-0) = 1 * 1 * 0.89^5 ≈ 0.5863

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