Answer: 0.0693
Explanation:
Given : The probability of citizens felt the government was not working well = 0.683
The binomial distribution formula :-
[tex]^nC_x\ p^x\ (1-p)^{n-x}[/tex], where n is the number of trials and p is the probability of successes.
If seven people were randomly selected, then the probability that all seven felt the government is not working well is given by :-
[tex]P(x=7)=^7C_7\ (0.683)^7\ (1-0.683)^{7-7}\\\\=(1) (0.683)^7\(1)=0.0693337876116\approx0.0693[/tex]
Thus , the required probability : 0.0693
