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May 31'22

Exercise

Each row in the table below gives the probability that a claim frequency will equal 0, 1, 2 or 3 for a specific policy:

0 1 2 3
0.55 0.45 0 0
p 1-p 0 0
0.6 0.3 0.05 0.05

The probability that the sum of the claim frequencies is less than or equal to 3 is 0.95. If the claim frequency events of distinct policies are independent, determine p.

  1. 0.045
  2. 0.11
  3. 0.45
  4. 0.55
  5. 1
May 31'22

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