Answer: 0.0555
Step-by-step explanation:
Binomial probability formula to find the probability of getting success in x trials out of n trials is given by :-
[tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], here p is the probability of getting success in each trial.
Given : In a binomial experiment the probability of success is 0.06.
Then, the probability of two successes in seven trials will be :-
[tex]P(x)=^7C_2(0.06)^2(1-0.06)^{7-2}\\\\=\dfrac{7!}{2!(7-2)!}(0.06)^2(0.94)^5\\\\=0.0554831440934approx0.0555[/tex]