Bernoulli trial

Question

2 failures in 7 trials with q = 0.6

Answer 1

The Bernoulli Trial Formula: N!/(N-t)!*t!*q^t*(1-q)^t

N is the total number of trials and t is the number of trials for the probability needed for the problem.

For this problem, N=7, t=2

P=7!/(5!*2!)*(0.6)²(0.4)⁵

1-0.6 is 0.4

0.6 is the possibility of failure; 0.4 is the possibility of success. The permutation describes the possible order in which the trials will occur.

P=0.077 or 0.08