Based on historical data, your manager believes that $31\%$ of the company's orders come from first$-$time customers. A random sample of $94$ orders will be used to estimate the proportion of first$-$time$-$customers. What is the probability that the sample proportion is between $0\mathrm{.}27$ and $0\mathrm{.}46?$

Answer $=($Enter your answer as a number accurate to $4$ decimal places.$)$