5. A college student frequents one of two coffee houses oncampus, choosing Starbucks 20% of the time and theLocal Shop 80% of the time. At Starbucks she buys acafé mocha on 60% of her visits. But at the Local Shopthey use high quality chocolate, and she buys a mochaon 70% of her visits.A. Probability of going to Starbucks and ordering a cafémocha is:B. Are the two events in part A independent?c. Probability of (Local Shop | ordered a mocha)BChallenge QuestionD. Probability of going to Local Shop OR ordering CaféMocha

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Answered: 5. A college student frequents one of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 and P(B|AC) = 0.45. a. Find P(AC). b. Find P(An B). c. Find P(An B). d. Construct a probability tree diagram. See the diagram on pages 50 and 52 of the course packet. Find P(B). Find P(A/B). Are A and B mutually exclusive? Why or why not? Are A and B independent? Why or why not? U e. f. g. h.
A random student will be selected from the College of Engineering. The number of male (B) and female (G) students in each department are as follows: For Civil Engineering (C) it is 43 and 15 respectively; for Electronics and Electrical engineering (E), it is 32 and 19 respectively; and for Mechanical Engineering (M), its 23 and 8 respectively. A. What is the probability that the student is male ME student or an EE student? B. What is the probability that the student is female given that she is not an ME student? C. What is the probability that the student is either a female or a CE student? D. What is the probability that the student is a male given that he is a CE student?
3. An airline tracks data on the flight arrivals. Over the past 6 months, 65 flights on one route around early, 130 arrived on time, 15 were late, and 30 were cancelled. A. What is probability the flight is early? On time? Late? Canceled? B. Are thes outcomes exclusive? C. What id the probability that a flight is either early or on time?
1. Researchers are interested in the relationship between vaping and upper respiratory infections. Suppose that 15% of their population of interest has vaped in the past year and 25% have had an upper respiratory infection in the past year. In addition, they know that 10% have both vaped and had an upper respiratory infection in the past year. What percent of the population has neither vaped nor had an upper respiratory infection in the past year? b. What is the probability of having an upper respiratory infection in the past year given that the person has vaped in the past year? What is the complement of the event in part b)? Be sure to interpret this probability in the context of the problem. a. C. d. What is the probability of having an upper respiratory infection in the past year given that the person has not vaped in the past year? Are the two events independent? Be sure to justify your answer. Based on your calculations what can you conclude about the relationship between vaping…
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?
10. Final: A local grocery store receives strawberries from suppliers in city A and city B. Currently there are 18 strawberry containers or shelf and 11 of them are from city A. A shopper selects three containers to purchase. What is the probability that two containers are fro the city A supplier? O a. .2831 O b. Not available O c..1851 O d. .4718 O e. .5292 口i
A. 8.33%B. 2 timesC. 66.67%D. 16 times
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?

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