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[4] Amrit just bought a Chromebook laptop from an online retailer at a cost of $300. He now has the option of buying an extended service warranty offering 5 years of coverage (i.e., if the laptop breaks down, the repair expense will be covered) for $100. After talking to friends and reading reports, Amrit believes the following maintenance expenses (and associated probabilities) could be incurred during the next five years: Expense 0 50 100 150 200 250 300 Probability 0.35 0.25 0.15 0.10 0.08 0.05 0.02 Explain whether the random variable Expense is discrete or continuous. Find the expected value (mean) and variance of this random variable. Based solely on expected value (mean), should Amrit pay $100 for the warranty? Explain