A commuter owns two cars. One is a compact and the other is a standard model. About3of the time4he uses the compact to travel to work and about – of the time the larger car is used. When he uses thecompact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sizedcar he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is theprobability that he used the compact car?

Answered: Image /qna-images/answer/84603757-3529-4157-affd-1dda7125f41c.jpg

Answered: A commuter owns two cars. One is a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Sam wants to take his music player and his video game player on a car trip. An hour before they planned to leave, he realized that he forgot to charge the batteries last night. At that point, he plugged in both devices so they can charge if possible before they leave. Sam knows that his music player has 40% of its battery life left and that the battery charges by an additional 12 percentage points every 15 minutes. His video game player is new, so Sam doesn’t know how fast it is charging but he recorded the battery charge for the first 30 minutes after he plugged it in. a. If Sam’s family leaves as planned, what percent of the battery will be charged for each of the two devices when they leave?
Justify your answer. Five years ago Uncle Shelby had $108,000. He put of the money in the bank. He invested the rest of the money and it gained 24%. He then gave each of his 12 nephews and nieces an equal share of the invested money. How much did each niece or nephew receive? Show your work.
Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/3 of the hot dogs! Grumbling, we cleaned up the mess, then ate 6 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/4 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/3. Our campsite neighbors, however, ran out of food, so we gave them 2/9 of our remaining hot dogs and then ate 11 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 6 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)
A recipe for chicken marsala with figs and walnuts serves 10 and calls for 1 1/2 cups of figs. You want to serve 90 guests (9 times the recipe). How many pounds of figs should you order if the Yield percent for figs is 98% and 1 cup of figs weighs 0.44 pounds?
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