question 1 Module 3 Writing Assignment 4Normal DistributionComplete the calculations below using the formulas and tables or hour calculator. Round all answers tofour decimal places. Explanations should be in complete sentences with proper grammar andpunctuation.1. Bob made 116 on his accounting midterm and 82 on his biology midterm. For the accountingmidterm, the mean score was 102 with standard deviation 14. For the biology midterm, the meanscore was 70 with standard deviation of 5. Which score was the higher with respect to the rest ofthe class? Explain your answer.Answer questions 2-5 dealing with the life expectancy of light bulbs whose lifetimes are normallydistributed with a mean life of 750 hours and with a standard deviation of 80 hours. Show or explain howyou determine the appropriate z-score and related percentage.2. What percent of light bulbs will last longer than 870 hours?3. What percent of light bulbs will last between 730 hours and 850 hours?4. What percent of light bulbs will last less than 770 hours?5. Inverse Normal Distribution: If the quality control program of the company can consistentlyeliminate the worst 10% of the bulbs manufactured, the manufacturer can safely offer customersa money-back guarantee on all lights that fail beforehours of burning time.(Problems 6- 10) An investigator polls a representative sample of common cold sufferers, asking them toestimate the number of hours of physical discomfort caused by their most recent cold. Their estimatesapproximate a normal curve with a mean of 83 hours and a standard deviation of 20 hour.6. What percentage of sufferers estimate that their colds lasted for longerforty-eight hours?7. What percentage suffered for fewer than 61 hours?8. What percentage suffered for between one and three days?s)MacBook Air

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