1 1. A motorcycle factory produces circular brackets for motorcycle engines. The table shows the bracket diameters for a production run of 12 brackets. The factory rejects brackets that have a diameter of less than 8.38cm or more than 8.42cm. Diameter (cm) 8.42 8.40 8.37 8.39 8.38 8.39 8.44 8.41 8.42 8.43 8.43 8.42 a) Determine the mean of these data. b) Determine the standard deviation of these data. d) What is the probability that a given manufactured bracket is above the acceptable range? e) In a production run of 500 brackets, how many would be rejected for being too large