Two events $E$ and $F$ with non-zero probabilities are statistically independent if and only if which equality holds?

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If $l, m, n$ are the direction cosines of a straight line in three-dimensional space, what is the value of $l^{2} + m^{2} + n^{2}$ ?
Which formula gives the shortest distance $d$ between two skew lines $r = a_{1} + λ b_{1}$ and…
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A fair coin is tossed $n = 10$ times. Let $X$ denote the number of heads obtained. What are the mean ( $μ$ ) and variance ( $σ^{2}$ ) of th…
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