Industrial production can be a complicated series of processes. Your new job at the toy factory would like you to analyze the production process. Use the process information below, answer questions 5-12.
First, toys are cast using plastic molds. 10% of toys are imperfectly cast; these are destroyed.
Second, toys that were correctly cast receive one of four painting styles (jungle, city, desert, space). Each style is applied to 25% of the toys correctly cast. 10% of toys that receive a painting job are incorrectly painted; these toys are destroyed. Incorrect painting is independent of painting style (i.e., there is no difference in painting mistakes by painting style).
Third, correctly painted toys are packed for sale in packages designed for different markets. 50% of the toys are packed in boxes with English, 20% are packed in boxes with Spanish, 20% are packed in boxes with French, and 10% are packed in boxes with Klingon. The language on the box is independent of painting style.
To clarify terminology:
“Toys cast” refers to all toys which were initially created, regardless of whether the cast was correct or not
“Toys correctly painted” refers to the subset of toys cast and painted correctly
What percent of toys cast are destroyed because of incorrect paint jobs?
What percent of toys cast are destroyed because an incorrectly applied space paint job?
What percent of toys cast are destroyed for any reason?
What percent of toys cast are sold in English language boxes?
What percent of toys cast are painted either in jungle or desert styles?
What percent of correctly painted toys are painted in the city style?
What percent of correctly painted toys are packaged in French language boxes?
What percent of correctly painted toys are desert style are in Klingon language boxes?
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