Answer: 0.3758
Step-by-step explanation:
Given : The probability that a milk container is underweight throughout of packaging line: [tex]p = 0.20[/tex]
The number of containers : n= 10
The formula binomial distribution formula :-
[tex]^nC_rp^{n-r}(1-p)^r[/tex]
The probability that at least nine milk containers in a box are properly filled is given by :-
[tex]P(X\geq9)=P(9)+P(10)\\\\=^{10}C_9(0.2)^{10-9}(1-0.20)^9+^{10}C_{10}(0.2)^{10-10}(1-0.2)^{10}\\=10(0.2)(0.8)^9+(1)(0.8)^{10}\\=0.3758096384\approx0.3758[/tex]
