Question

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Version 3 Questions 1 - 2 A department store analyzed its recent sales and determined the relationship between the way the custom paid for the item and the price category of the item. Cash Credit card Debit card Less than $20 16 20 5 $20 - $100 19 19 7 More than $100 6 5 3 Q01 Find the probability of items purchased by cash or debit card (a) 53% (b) 13% (e) 45% (d) 56% (e) 32% Answer (d) 19V .Il trebude o s TITOV SL Q02 A gift is given to all purchases by cash. Another gift is given to all purchases more than $100. What is the probability that a purchase is eligible for at least a gift? (a) 56% (b) 65% (c) 26% (d) 49% (e) 68% Answer (d)

Answer 1

1. Probability of items purchased by cash or debit card= Total customers for cash or debit card/Total outcome

Total customers for cash or debit card= Adding up cash or debit card purchases= 16+19+6+5+7+3=56

Total outcome= Adding cash or debit or credit card purchases=1619+6+5+7+3+20+19+5=100

Probability= 56/100=0.56 or 56%

2. Probability of getting at least one gift= 1- probability of getting no gifts

We will not get any gifts if purchase is made either by credit card or debit card and if purchase is less than $100,so total of debit or credit card=20+19+5+7=51

Probability of getting at least one gift=1-51/100=49/100=0.49 or 49%

3. Probability of union members that think job security is important=P(J)=70/100=0.7

Probability of union members who think retirement is important=P(R)=0.6

Probability of union members who think both are important=P(J $\cap$ R)= 0.5

Probability of union members who think job security is important but not retirement= P(R)-P(J $\cap$ R)= 0.7-0.5=0.2 OR 20%

4. Probability of union members who think none of these are important= 1-P(J $\cup$ R)

P(J $\cup$ R)=P(R)+P(J)-P(J $\cap$ R)=0.7+0.6-0.5=0.8

Probability of union members who think none of these are important=1-0.8=0.2 or 20%