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QUESTION

An office manager has received a report from a consultant that includes a section on equipment replacement.

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 43 months and a standard deviation of 6 months. On the basis of this information, determine the proportion of scanners that can be expected to fail in the following time periods:

Use Table A and Table B.

a.Before 35 months of service. (Round z values to 2 decimal places, probability calculations to 4 decimal places and your final answer to 4 decimal places.)

TProportion of scanners<35  

b.Between 42 and 46 months of service. (Round z values to 2 decimal places, probability calculations to 4 decimal places and your final answer to 4 decimal places.)

TProportion of scanners42<T<46  

c.Within ± 3 months of the mean life. (Round z values to 2 decimal places, probability calculations to 4 decimal places and your final answer to 4 decimal places.)

TProportion of scanners  Within ± 3 months of the mean life  

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