i [10 marks] The Federal Insurance Company {PIC} offers auto insurance policy that costs $1000 and has a $20!} deductible for full coverage for an accident. The Union Insurance Company [[JIC} offers a policy that costs $900 with a $600 deductible. Drivers in this society are either careful or careless. If a driver is careful, he has a prohabihty pt of having an accident that will lead to the loss of his car. If a driver is reckless {i.e., careless}, he has a probability pr of having an accident that will lead to the loss of his car. where Us: pf s: p, s: 1. There are only two possibilities: accident or no accident. Mr. Lmdis lives in this society and has the utihqr-of-Wealm mction. U (x) = if}, where x is his wealth. He owns a car worth $2. and this is his only wealth. He can choose to be c comtl' or reckless driver. Determine the values ofpf and pr, for which Mr. Landis will not buy insurance