Answer:
probability that none of the solar panels are defective = 0.97
Step-by-step explanation:
Proportion of solar panels that are defective, p = 1/200 = 0.005
Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005
q = 0.995
Sample size, n = 6
probability that none of the solar panels are defective, P(X=0)
Note: [tex]P(X=r) = nCr p^{r} q^{n-r}[/tex]
[tex]P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97[/tex]
