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The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>
<h3>What is the probability?</h3>Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
No of failure,n = 7
No of trials,x≥6
A binomial probability is represented as;
Substitute the given data;
Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be <u>0.000343311 %</u>
To learn more about probability, refer to the link: brainly.com/question/795909.
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Here I have included 3 methods: Differentiating, Integrating and factorize
Differentiating:
Integrating:
Factorise: