Question

Math 219 Review for Final Exam The RubbaDubDub Soap Company has two machines which wrap bars of RubbaDubDub hand soap in 1) attractive, sanitary foil wrapping. The employees have nicknamed the machines "SpongeBob" and "Patrick. SpongeBob wraps 65% of the bars of soap, while Patrick wraps the rest. 2% of the bars wrapped by SpongeBob are wrapped improperly, while 4 % of the bars wrapped by Patrick are wrapped improperly. If a bar of RubbaDubDub soap is selected at random, what is the probability that it is wrapped PROPERLY? One person is randomly selected. Using the contingency table, find: 2) men women

Answer 1

(1)  The RubbaDubDub Soap Company has two machines which wrap bars of RubbaDubDub hand soap in attractive, sanitary foil wrapping. The employees have nicknamed the machines "SpongeBob* and "Patrick" SpongeBob wraps 65% of the bars of soap, while Patrick wraps the rest. 2% of the bars wrapped by SpongeBob are wrapped improperly, while 4% of the bars wrapped by Patrick are wrapped improperly, tf a bar of RubbaDubDub soap is selected at random, what is the probability that it is wrapped PROPERLY?

ANSWER ::-

as for given data...

Probability of soaps wrapped improperly = probability of soaps improperly wrapped by spongebob + probability of soaps improperly wrapped by Patrick = 0.65x0.02+0.35x0.04

= 0.027

So, probability that the soap is wrapped properly = 1-0.027 = 0.973

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