A cell phone manufacturer is considering offering a refund to its customers whose battery fails before $5$ years. The refund starts at $$10$ and increases by $$1\mathrm{.}50$ for every month the battery falls short of $5$ years. For example, a customer whose battery fails after $4$ years and $6$ months would receive a refund of $$19.$ A customer whose battery fails after $5$ years would receive no refund. Previous studies show that a battery$$s life is normally distributed with a mean of $7$ years and a standard deviation of $2$ years. In studio R create a data frame where each row represents a different trial. Include a column that calculates the amount of time that the battery lasts and another for refund the manufacturer would pay. Thank you.