A) \[\frac{5}{128}\]
B) \[\frac{19}{128}\]
C) \[\frac{11}{128}\]
D) \[\frac{7}{128}\]
Correct Answer: D
Solution :
[d] \[p(X\ge 8){{=}^{10}}{{C}_{8}}{{\left( \frac{1}{2} \right)}^{8}}{{\left( \frac{1}{2} \right)}^{2}}{{+}^{10}}{{C}_{9}}{{\left( \frac{1}{2} \right)}^{9}}{{\left( \frac{1}{2} \right)}^{1}}{{+}^{10}}{{C}_{10}}{{\left( \frac{1}{2} \right)}^{10}}\]\[={{\left( \frac{1}{2} \right)}^{10}}{{[}^{10}}{{C}_{2}}{{+}^{10}}{{C}_{1}}{{+}^{10}}{{C}_{0}}]=\frac{56}{8\times {{2}^{7}}}=\frac{7}{128}.\]
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