P(X = a) &amp; = {_n}C_a \times p^a \times q^{(n - a)}\\P(X = 5) &amp; = {_{10}}C_5 \times p^5 \times q^{(10-5)}\\P(X = 5) &amp; = {_{10}}C_5 \times (0.306)^5 \times (0.694)^{(10-5)}\\P(X = 5) &amp; = 252 \times 0.00268 \times 0.161\\P(X = 5) &amp; = 0.109