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Determine the probability that a policyholder holds car insurance coverage, given that the policyholder reported a claim. | Determine the probability that a policyholder holds car insurance coverage, given that the policyholder reported a claim. | ||
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<li>4/15</li> | <li>4/15</li> | ||
<li>4/9</li> | <li>4/9</li> | ||
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<li>2/3</li> | <li>2/3</li> | ||
<li>11/15</li> | <li>11/15</li> | ||
</ | </ul> | ||
Latest revision as of 11:25, 18 March 2024
An actuary analyzed historical auto and home insurance data and has concluded the following:
- The probability that a policyholder with only home coverage reports a claim is 3%
- The probability that a policyholder with only car coverage reports a claim is 5%
- The probability that a policyholder with both home and car coverage reports a claim is 6%
- 60% of policyholders holding car or home coverage have car coverage and 70% have home coverage
Determine the probability that a policyholder holds car insurance coverage, given that the policyholder reported a claim.
- 4/15
- 4/9
- 0.6471
- 2/3
- 11/15