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7. When Liam commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 55 minutes

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7. When Liam commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 55 minutes and a standard deviation of 4.5 minutes. a. What percentage of times does it take him LESS THAN 60 minutes to get to work? 2= 60-55 4.5 8643% .9643 +0.5 = 1.11 b. What percentage of times does it take him BETWEEN 46 and 60 minutes 564 68.5 86.43-7.28= 84.15% 46-55 4.5 = -2 = 2,28 +0.5 c. Out of the 207 days that Liam commutes to work per year, how many times would his commute be between 46 and 60 minutes, to the nearest whole number? 207 (.8415) 174 times d. What times mark the middle 80% of the commute times? C 49.15 60.805 ac TOO-80-20/2=10 100-10=90 10=-1.29=x-55 (+.5) (4.5 4.5 5.805-775 SS = 45-60.805 90-129-x-55 (4.5) 49.195 (4.5) 4.5

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