An unbiased coin is tossed 5 times. Suppose that a variable \( \mat...
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An unbiased coin is tossed 5 times. Suppose that a variable \( \mathrm{X} \) is assigned the value \( \mathrm{k} \) when \( \mathrm{k} \) consecutive heads are obtained for \( \mathrm{k}=3,4,5 \) otherwise \( \mathrm{X} \) takes the value \( -1 \). Then the
\( \mathrm{P} \) expected value of \( \mathrm{X} \), is :
W
(1) \( \frac{3}{16} \)
(2) \( -\frac{3}{16} \)
(3) \( \frac{1}{8} \)
(4) \( -\frac{1}{8} \)
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