A regional study of low flows for 25 catchments is being planned. The hydrologist in charge of the study does not know that 12 of the 25 catchments have inconsistent data. Suppose that in a first...

A regional study of low flows for 25 catchments is being planned. The hydrologist in charge of the study does not know that 12 of the 25 catchments have inconsistent data. Suppose that in a first phase of the regional study, 10 catchments have been selected. Calculate (a) the probability that 3 out of the 10 selected catchments have inconsistent data; (b) the probability that at least 3 out of the 10 selected catchments have inconsistent data; and (c) the probability that all 10 selected catchments have inconsistent data.