A certain region is inhabited by r distinct types of a certain species of insect. Each ins...

A certain region is inhabited by r distinct types of a certain species of insect. Each insect caught will, independently of the types of the previous catches, be of type i with probability

(a) Compute the mean number of insects that are caught before the first type 1 catch.

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(b) Compute the mean number of types of insects that are caught before the first type 1 catch.