Answer:
Total proportion of samples that break during shipment [tex]1.42[/tex] %
Step-by-step explanation:
Let the total number of glasses shipped is equal to [tex]100[/tex]
[tex]58[/tex] % of the glasses are shipped in large packets [tex]\frac{58}{100}*100 = 58[/tex]
[tex]42[/tex] % of the glasses are shipped in small packets [tex]\frac{42}{100}*100 = 42[/tex]
Number of broken glasses in small package [tex]= \frac{2}{100} * 42 = 0.84[/tex]
Number of broken glasses in large package [tex]= \frac{1}{100} * 58 = 0.58[/tex]
Total proportion of samples that break during shipment
[tex]\frac{0.84 + 0.58}{100} *100 = 1.42[/tex] %
