Question Solved1 Answer The coffee shop at the mall employs 19 people as full time, casual and/or weekend staff as shown in the table below. Employment Type Full Time Casual Weekend Full Time and Casual Full Time and Weekend Casual and Weekend Full Time, Casual & Weekend Number of Employees 13 9 7 4 3 4 1 A) Create a Venn-diagram, and then determine the probability that a randomly selected employee works full time or on weekends. B) Determine the probability that a randomly selected employee works only full time or only weekends or only casual. C) Determine the probability that a randomly selected weekend employee is also a casual employee.

IUSVFW The Asker · Probability and Statistics

Transcribed Image Text: The coffee shop at the mall employs 19 people as full time, casual and/or weekend staff as shown in the table below. Employment Type Full Time Casual Weekend Full Time and Casual Full Time and Weekend Casual and Weekend Full Time, Casual & Weekend Number of Employees 13 9 7 4 3 4 1 A) Create a Venn-diagram, and then determine the probability that a randomly selected employee works full time or on weekends. B) Determine the probability that a randomly selected employee works only full time or only weekends or only casual. C) Determine the probability that a randomly selected weekend employee is also a casual employee.
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Transcribed Image Text: The coffee shop at the mall employs 19 people as full time, casual and/or weekend staff as shown in the table below. Employment Type Full Time Casual Weekend Full Time and Casual Full Time and Weekend Casual and Weekend Full Time, Casual & Weekend Number of Employees 13 9 7 4 3 4 1 A) Create a Venn-diagram, and then determine the probability that a randomly selected employee works full time or on weekends. B) Determine the probability that a randomly selected employee works only full time or only weekends or only casual. C) Determine the probability that a randomly selected weekend employee is also a casual employee.
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A)let omega= Employel works on weekendF= Employel works on full timeC = Employel works on casualwe have to find -{:[P(F uu omega)=P(F)+P(omega)-P(F nn omega)],[=(7)/(19)+(1)/(19)-(3)/(19)=(7+1-3)/(19)],[P(F uu W)=(5)/(19)]:}(B){:[P(F uu W uu C) ... See the full answer