Please provide work/explanation for the following question:

Sam has to pick between two jobs:

Job A: has 10/1000 chance of death

Job B: no risk of death

Job A pays $10,000 more than Job B

The jobs are otherwise identical

Sam also can buy a danger detector or not. Buying it will cost him $100. If he does, his danger risk goes from 1/10,000 to zero.

Given the above information, address the following questions:

a) if Sam chooses Job B, what can you say about the value Sam places on his life?

b) if Sam chooses Job B...AND...does not buy a danger detector, what can you say about the value Sam places on his life?

c) which of these decisions would economists think is a better one to determine the value of a statistical life? Why?