Determine the number x for the given table

Reference no: EM1318145

Determine the number X for the given table.

Suppose that men and women are distributed in the freshman and sophomore classes of a college according to the proportions listed in the following table.

Class Gender	M	W	Totals
F	4	6	10
S	6	X	6 + x
Totals	10	6+x	16+x

A student is chosen at random and let M,W,F, and S be the events, respectively, that the student is a man, a woman, a freshman, or a sophomore. Then, being a man or a woman and being a freshman or a sophomore are independent, if
P(M ∩ F) = P(M) P(S), P(W∩ F) = P(W)P(F),
P(M∩S) = P(M) P(S), P(W∩S) = P(W)P(S).
Determine the number x so that the preceding independence relations hold.

Reference no: EM1318145

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