hey folks i really dont know how to approach this ques i would really appreciate some assistance

[SOA/CAS 1999 Practice Exam # 37] An insurance contract reimburses a family’s automobile

accident losses up to a maximum of two accidents per year. The joint probability

distribution for the number of accidents of a three person family (X, Y,Z) is

p(x, y, z) = k(x + 2y + z)

where x = 0, 1, y = 0, 1, 2, z = 0, 1, 2 and x, y and z are the number of accidents incurred by

X, Y and Z, respectively.

Determine the expected number of unreimbursed accident losses given that X is not involved

in any accidents.

[SOA/CAS 1999 Practice Exam # 37] An insurance contract reimburses a family’s automobile

accident losses up to a maximum of two accidents per year. The joint probability

distribution for the number of accidents of a three person family (X, Y,Z) is

p(x, y, z) = k(x + 2y + z)

where x = 0, 1, y = 0, 1, 2, z = 0, 1, 2 and x, y and z are the number of accidents incurred by

X, Y and Z, respectively.

Determine the expected number of unreimbursed accident losses given that X is not involved

in any accidents.

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