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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Lando works in Brooklyn and his home is in Newark. He comes to office either by bus or train. If he arrives at office on time or earlier, 90% of the times he comes by train and if he is late, 70% of the times she comes by bus. Lando normally arrives at office on time for 80% of the times. What is the probability that he takes bus normally?
Mrs b. A salesman has a 40% probability of making a sale to any customer who enters his department. On a typical day, he will meet 20 customers. What minimum number of sales will he have an 95% certainty of making for any given day.
Dan's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 2% of those he handles. Betty and Chuck each wash 30% of the dishes, and Betty breaks only 2% of hers, but Chuck breaks 4% of the dishes he washes. You go to Dan's for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job? The probability that Chuck is on the job is. (Round to three decimal places as needed.)
Dan's Diner employs three dishwashers. Al washes 20% of the dishes and breaks only 1% of those he handles. Betty and Chuck each wash 40% of the dishes, and Betty breaks only 1% of hers, but Chuck breaks 3% of the dishes he washes. You go to Dan's for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job? The probability that Chuck is on the job is (Round to three decimal places as needed.) An Pas
At the Washington University 35%, 25% and 40% of the students in Calculus are taught by Prof. A, Prof. B and Prof. C, respectively. The respective probabilities of failing in Calculus for the three professors are 6%, 7% and 5%. A student in Calculus in the previous semester was randomly selected and was found out to have failed in the subject. Under which class most likely did he belong?
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good disk is the same as the probability of selecting a defective disk. In part C, you will determine the probability that this shipment contains 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. Note: I am not asking for an example of an outcome, although I may ask for examples of outcomes on the exam. A. What is the size of your sample space S? i.e., How many different outcomes (batches of 40 disks) in your sample space? What are the conditions? What counting technique(s) are you using? B. How many outcomes when randomly selecting 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. What are the conditions? What counting technique(s) are you using? C What is the probability of randomly selecting a batch of 10 defective disks and 30 good disks or a batch of 15 defective disks and 25…
A Fast Food restaurant gives a discount to anyone who finishes their food in under 5 minutes. 44% of the restaurant' s customers choose to eat a Burger, 28% choose a bowl of Pasta, and the rest choose a Salad dish. In the last month, 18% of Burger-eating customers, 11% of Pasta-eating customers, and 20% of Salad-eating customers achieved the discount. a. What is the probability of a customer choosing to eat Salad and achieving the discount? Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the probability of a randomly chosen customer achieving the discount. Answer in exact fraction, or rounded to at least 4 decimal places
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