please do both questions if you not do both I will put thumbs down Question 1 (1

Question

please do both questions if you not do both I will put thumbs down

Question 1 (1 point) The following information is given regarding which types of credit cards consumers carry: where A-Visa Card, B = Master Card, P(A)-0.40, P(B)=0.45, and PAandb-0.10. What is the probability that a person carries a Visa, given that they carry a Master Card? (Give your answer in decimal form accurate to three decimal places.) Your Answer: Answer Save Question 2 (1 point) Bob's boss sees Bob coming in late to work on a morning that he was supposed to be a part of an important meeting. Bob's boss doesn't know what mode of transportation Bob prefers, but he does know that Bob is more likely to be late if he takes his car. In fact, Bob has a 40% probability of being late when he takes his car. He can also take his bicycle, and only has a 10% of being late if he does. He can take the bus and have a 10% chance of being late, or take the train and have only a 4% chance of being late. Given that Bob is late, what is the probability that he took car to work? (Give your answer in percentage terms with one decimal point of precision.) Your Answer:

Explanation / Answer

Ans:

1)

Given that

P(Visa)=P(A)=0.40

P(Master)=P(B)=0.45

P(Visa and Master)=0.10

P(Visa/Master)=P(A/B)=P(A and B)/P(B)=0.10/0.45=0.222

2)Given that

P(late/bicycle)=0.1

P(late/car)=0.4

P(late/bus)=0.1

P(late/train)=0.04

consider that each mode is equally likely to be chosen,so

P(bicycle)=P(car)=P(bus)=P(train)=0.25

Now,

P(late)=0.1*0.25+0.4*0.25+0.1*0.25+0.04*0.25

Plate)=0.16

P(car/late)=P(late/car)*P(car)/P(late)

=0.4*0.25/0.16

=0.625 or 62.5%

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.