Question

Please help. 50 Points.

Find 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%.

Thank you in advance!!​

Answer 1

0.8745.

Explanation:

P(success) = 0.09 and P(failure) = 1 - 0.09 = 0.91.

P( at least 6 failures) = P( less than 2 successes)

= 7C0 (0.09)^0 (0.91)^7 + 7C1 (0.09)(0.91)^6

= 0.5168 + 0.3577

= 0.8745.

Answer 2

87.5% is correct