Question: The ( a , b ,1) class of distributions includes the extended truncated negative binomial (ETNB) distribution. This is a zero-truncated negative binomial distribution with

The (a,b,1) class of distributions includes the extended truncated negative binomial (ETNB) distribution. This is a zero-truncated negative binomial distribution with parameters r and ; is positive as usual, but r is such that it is greater than 1 but not equal to zero. Refer to the Tables for Exam FAM-S. Suppose claim count follows an ETNB distribution:

(i) The probability of one claim is0.62.

(ii) The probability of two claims is0.19.

(iii) The probability of three claims is0.08. Calculate the expected claim count.

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