Suppose, a population $A$ has $100$ observations $101,102,\dots ,$ $200$ and another population $B$ has $100$ observations $151,$ $152,\dots ,250$ If $V_A$ and $V_B$ represent the variances of two populations respectively, then the ratio $V_A:V_B$ is

Let $A$ and $B$ be two events such that $P(A\cup B)\ge \frac{3}{4}$ and $\frac{1}{8}\le P(A\cap B)\le \frac{3}{8}$

Statement $\mathrm{I}$ $P\left(A\right)+P\left(B\right)\ge \frac{7}{8}$

Statement $\mathrm{II}$ $P\left(A\right)+P\left(B\right)\le \frac{11}{8}$

Statement I: The line $2x+y+6=0$ is perpendicular to the line $x-2y+5=0$ and the second line passes through $\left(1,3\right)$.

Statement II: Product of the slopes of any two parallel lines is equal to $-1.$