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1. Lightbulbs Lightbulbs have a normally distributed lifetime of 6000 hours with a standard deviation of 2000 hours. There are two rooms and four new

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1. Lightbulbs Lightbulbs have a normally distributed lifetime of 6000 hours with a standard deviation of 2000 hours. There are two rooms and four new lightbulbs in each room are turned on at the same time. (a) What is the expected length of time until one of the rooms is completely dark? (b) What is the probability that the length of time until one of the rooms is completely dark is more than 7000 hours? (0) What is the probability that both rooms are dark at 10000 hours or less? Do not round the quantity of bulbs sold. Use an Excel simulation with 1000 iterations to answer these questions. Upload your Excel file. Make sure that you have clearly shown in your spreadsheet the answers to these three questions. 2. Let's Make a Deal You are a participant in a game show. You will win a prize if you correctly guess which of three boxes contains the prize. You pick box #1, and the game show host opens one of the other two boxes, revealing it to be empty. You are given the option to change your pick to the other unopened box. Use an Excel simulation with 1000 iterations to determine whether you should switch to the other box. Upload your Excel file. Again, make sure that you have clearly shown in your spreadsheet the answer to the queson

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