The probability that a certain company will experience a loss in a given year is 0.35. If the loss occurs, it will be either $80,000 with probability 0.5, or $120,000 with probability 0.5. The company is considering purchasing an insurance policy with a premium of $30,000, which would cover the entire loss if it occurs. Should the company purchase the insurance policy, given that it wants to minimize its expected cost?

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