Each day, a FedEx competitor processes approximately $65,000$ shipments. Suppose

that they use the same Service Quality Index as FedEx and identified the following number of errors during a $5-$day week $($see the "FedEx: Measuring Service Performance" box$).$ These values are hypothetical and do not reflect any real company$$s actual performance.

Description Weight Number of Errors

Complaints reopened $3135$

Damaged packages $1015$

International $1110$

Invoice adjustments $1281$

Late pickup stops $3202$

Lost packages $101$

Missed proof of delivery $120$

Right date late $1745$

Traces $3120$

Wrong day late $517$

Compute the Service Quality Indicator by finding the weighted sum of errors as a percentage of total shipments. Do not round intermediate calculations. Round your answer to three decimal places.