# The flow in a river can be modeled as a log-normal distribution. From the data, it was estimated that, the probability that the flow exceeds 821 cfs is 50% and the probability that it exceeds 100 cfs is 90%. Let X denote the flow in cfs in the river. What is the mean of log (to the base 10) of X? Please report your answer in 3 decimal places.

Question

The flow in a river can be modeled as a log-normal distribution. From the data, it was estimated that, the probability that the flow exceeds 821 cfs is 50% and the probability that it exceeds 100 cfs is 90%. Let X denote the flow in cfs in the river. What is the mean of log (to the base 10) of X? Please report your answer in 3 decimal places.