A certain drug was developed, tested, and found to be effective 90% of the time. Find the probability of successfully administering the drug to at least 13 out of 14 patients. (Enter a number. Round your answer to four decimal places.)

Advanced Engineering Mathematics
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ISBN:9780470458365
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A certain drug was developed, tested, and found to be effective 90% of the time. Find the probability of successfully administering the drug to at least 13 out of 14 patients. (Enter a number. Round your answer to four decimal places.) 

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The binomial distribution is a discrete type distribution. It is considered as the finite case of Bernoulli's trial. In Bernouli's trial, the number of trials is infinite. But, in binomial distribution, the number of distribution is finite. When the probability of one success and the sample size is provided, we follow the binomial distribution. 

It is given that a drug is tested to be effective 90% of the time. We determine the probability of administrating the drug successfully to at least 13 out of 14 people. 

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