\(p = 50\% = \frac{50}{100} = \frac 12\)
\(q = 1 - p = 1 - \frac 12 = \frac 12\)
\(n = 18\)
(i) \(P(x = 10) = \,^{18} C_{10} \,p^{10} q^8\)
\(=\, ^{18}C_{10} \left(\frac 12\right)^{10}\left(\frac 12\right)^{8}\)
\(=\left(\frac 12\right)^{18} \,^{18}C_{10}\)
(ii) \(P(x \ge 2) = 1 - P(x = 0) - P(x = 1)\)
\(= 1 -\, ^{18}C_0\,p^0 q^{18} -\, ^{18}C_1 \,p^1q^{17}\)
\(= 1 - \left(\frac 12\right)^0 \left(\frac 12\right)^{18} - 18\left(\frac 12\right) \left(\frac 12\right)^{17}\)
\(= 1 -\left(\frac 12\right)^{18} - 18\left(\frac 12\right)^{18}\)
\(= 1- 19\left(\frac12\right)^{18}\)
(iii) \(P(X \le 17) = 1 - P(X = 18)\)
\(= 1-\,^{18}C_{18} \,p^{18}q^0\)
\(= 1- \,^{18}C_{18}\left(\frac 12\right)^{18} \left(\frac 12\right)^0\)
\(=1-\left(\frac 12\right)^{18}\)