$2.$ PL Lumber stock is expected to return $20\%$ in a booming economy, return $10\%$ in a normal economy, and lose $2\%$ in a recession. The probabilities of an economic boom, normal state, or recession are $7\%,89\%,$ and $4\%,$ respectively. The expected rate of return on this stock is A$)14\mathrm{.}84\%$B$)12\mathrm{.}23\%$C$)13\mathrm{.}51\%$D$)10\mathrm{.}22\%$