find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%​

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

7 trials

This means that

The probability of success in any trial is 9%​?

So the probability of a failure is 100 - 9 = 91%, which means that

Probability of at least 6 failures in 7 trials?

This is:

In which

0.8746 = 87.46% probability of at least 6 failures in 7 trials.