Product of Numbers from a Log Normal Distribution

Four independent random variables $X_i$, $1 \leq  i \leq 4$, are log-normally distributed such that $\ln(X_i)$ has mean $0.5$ and variance $1$. What is the probability that the product of the $X_i$ is at least $50$?


Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer
The answer is accepted.