Answer to Question #86018 in Statistics and Probability for Samkelisiwe

Question

Components are placed into bins containing 100. After inspection of a large number of bins the
average number of defective parts was found to be 10 with a standard deviation of 3. Assuming
that the same production conditions continue, except that bins containing 300 were used:
1.2.1 what would be the average number of defective components per larger bin? (5)
1.2.2 what would be the standard deviation of the number of defectives per larger bin? (5)
1.2.3 how many components must each bin hold so that the standard deviation of the number
of defective components is equal to 1% of the total number of components in the bin?(5