Answer: 0.0057
Step-by-step explanation:
Let X be a binomial variable that represents the number of widgets are green.
Given : Probability that a widget is green = 0.275
Sample size : n= 4
Binomial probability distribution formula:
[tex]P(X=x)=^nC_xp^x(1-p)^x[/tex]
Now, the probability that at least one of them is green will be
[tex]P(X\geq1)=1-P(X<1)=1-P(X=0)\\\\=1-^4C_0(0.275)^0(0.275)^4\\\\=(1)(1)(0.275)^4\\\\\approx0.0057[/tex]
Hence, the probability that at least one of them is green = 0.0057
