Question 1 0/1 pts Suppose we have 33 decks of cards that are colored red on the

Question

Question 1 0/1 pts Suppose we have 33 decks of cards that are colored red on the back, and 10 decks of cards that are colored blue on the back. Both the red and blue decks contain 67 cards in each deck. Each red deck contain 20 cards that are Aces and each blue deck contains 39 cards that are Aces. Suppose that all of the cards for all of the decks are put into a box, and one card is drawn from the box at random. What is the probability that the drawn card is red, conditional on the card being an Ace? Round your answer to 3 digits to the right of the decimal. 0.9670 Correct Answer0.629 margin of error+-0.001 Question 2 0/1 pts Suppose that a company manufactures cars in only two cities: Lansing,MI and Kansas City.,KS. Over the past year the number of cars manufactured in Lansing was 427136, and 1111 of those cars were "lemons" that will break down within the first year, and the number of cars manufactured in Kansas City was 473770, and 1117 of those cars were "lemons": Suppose you buy a car from this manufacturer, and it turns out to be a "lemon."What is the probability that the car was manufactured in Lansing? That is, what is the probability that the car was manufactured in Lansing, conditional on it being a "lemon? Round your answer to 3 digits to the right of the decimal. 0.2450 Correct Answer0.499 margin of error+-0.001

Explanation / Answer

total number of cards =33*67+10*67=2881

total ace cards =33*20+10*39=1050

probability of ace =1050/2881

hence condition probability =P(red|ace) =P(red and ace)/P(ace) =((33*20)/2881)/(1050/2881)=0.629

2)

P(manufactured in lansing|lemon) =P(manufactured in lasing and lemon)/P(lemon) =1111/(1111+1117)=0.499

please revert for any clarificaiton

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

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