We need to infer whether someone has detetes using the blood sugar level onty. Suppose that the average blood sugar level for a healthy person is $100$ and that for a diabetes patient is $180.$ Let x be the decision boundary such that if someone has blood sugar level greater thanx. we would declare that she$/$he has diabetes $($i$.$e$.,$ the test result is positive$).$ Which statement is true?O If x $=150$ and a diabetes patient has blood sugar level $120,$ we say the patient is a true negative$\mathrm{.}0$ x $=101$ must be the best choice for the decision boundary.If we choose x $=145,$ we will never make a wrong diagnosis.There may not exist an optimal choice of x such that both false positive rate and false negative rate are zero.