1. Mindy is taking MA 385 this summer and two sections are offered. She estimates that if she takes Dr. J, her chance of passing the course is 80%, but if she takes Dr. S, her chance of passing the course is only 60%. There is a 40% chance she will get in Dr. J's class, otherwise she will be placed in Dr. S's class. After the summer is over, you learn that Mindy passed MA 385. What is the probability that she was enrolled in Dr. J's section?

1. Mindy is taking MA 385 this summer and two sections are offered. She estimates that if she takes Dr. J, her chance of passing the course is 80%, but if she takes Dr. S, her chance of passing the course is only 60%. There is a 40% chance she will get in Dr. J's class, otherwise she will be placed in Dr. S's class. After the summer is over, you learn that Mindy passed MA 385. What is the probability that she was enrolled in Dr. J's section?

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...

See similar textbooks

Similar questions

Joe likes to go to an old arcade and play 8 games of Skeeball every day. On average, he wins a prize on 65% of the games he plays. Today, however, he won only 3 of the 8 games he played. This made Joe think that there must be something wrong with how he is throwing the ball today. However, a friend tells him, "You might be throwing the same way you usually do. People will sometimes have a group of bad games just because of random variation, not because of psychology, or because they are doing anything differently, or any other reason. For someone with your statistics, such random bad days wouldn't even be very rare." Let's see what Joe's friend means. Suppose that Joe's skill level really hasn't changed, so he still has a 65% chance of winning each game he plays, like before. If he plays 8 games a day, on what percentage of days will he win 3 games or fewer? Assume that each game is independent of the others. Fill in the blank: Joe would win 3 games or fewer on % of the days that he…
You have a large vegetable garden that has beefsteak tomato plants. Bees account for close to 80% of pollination of fruits, vegetables, and seed crops. You want more bees to visit your garden because more pollination means more tomatoes. Research has shown that bees prefer flowers that are either yellow, white, or blue; however, they are not attracted to red flowers because they see red as an absence of color. You are curious to see if this is true. In your garden, you separate two environmentally similar spaces for your beefsteak tomato plants. In one of the areas, you add yellow flowers around the tomato plants; in the other area you add red flowers. A random sample of 15 tomato plants surrounded by yellow flowers was taken and the mean tomato yield weight was 12.4 pounds per plant with a standard deviation of 2.7. Another random sample of 16 tomato plants that were surrounded by red flowers showed a mean tomato yield weight of 11.5 pounds per plant with a standard deviation of 2.1.…
Sarah chose to live on the honors floor of her dorm because she was told that the students on that floor would be quiet and studious. She was told that students on the honors floor study 10.5 hours per week. After living on the honors floor for a few months, Sarah is convinced that the students around her study less than 10.5 hours a week. To test her claim, Sarah polls 10 students on her floor regarding the number of hours per week that they spend studying. Use the results in the table below to test Sarah’s claim at the 0.05 level of significance. Assume that the population distribution is approximately normal. hours of study: 12,4,14,9,8,6,10,12,11,9
Smokers make up 17% of the US population, while 10% of the US population is left handed. In a sample of 70 people, 12 are smokers and 7 are left handed. Only one participant is a left handed smoker. Does handedness appear to influence people to become smokers? Support your answer mathematically.
please solve it as soon as possible
Solve this for me
Morris’s kidneys have failed and he is awaiting a kidney transplant. His doctor gives him this information for patients in his condition. Of those patients who get matched with a kidney, 90% survey the transplant operation and 10% do not. The transplant succeeds in 60% of those who survive and the other 40% must return to kidney dialysis. The proportions of those who survive for at least 5 years post transplant is 70% for those who had a successful transplant and 50% for those who return to dialysis. Assuming Morris is matched with a kidney, what is his chance of surviving 5 years post transplant. It may be helpful to draw a tree diagram to solve this problem.
I need up solving this problem part A and part B
Luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasn't been paying attention in class and has to guess on each question. However, his teacher allows each student to take the quiz three times and will record the highest of the three scores. A passing score is 6 or more correct out of 10. We want to perform a simulation to estimate the score that Luke will earn on the quiz if he guesses at random on all the questions. The dotplot shows Luke's simulated quiz score in 50 trials of the simulation. Doug is in the same class and claims to understand some of the material. 1 N 10000 2 …………………………………at 3 …………………… 4 3 ……………………●●●●●▬ 5 Simulated quiz score -●●●●● 10 6 7 If Doug scored 8 points on the quiz, is there convincing evidence that he understands some of the material? Why or why not? Yes, it is unlikely that Doug would score higher than 6 out of 10 based upon randomly guessing the answers. Since…
My neighborhood has a lot of dogs. In fact, when I walk my dog, Wrigley, only 2% of the time do we not see any other dogs. Gary has three dogs (Salsa, Nacho, and Dublin), and we see only Gary and his dogs about 30% of the time when we are on a walk. Lesley has two dogs (Buster and Oreo), and we see only Lesley and her dogs 20% of the time when we are on a walk. Gary and Lesley’s dogs don’t get along; we never see them at the same time. Margo has one dog (Bond), and we see only Margo and Bond 25% of the time when we are on a walk. 10% of the time we see Margo and Lesley. What is the probability that Wrigley and I see both Gary (Salsa, Nacho and Dublin) and Margo (Bond) on a walk? What is the probability we see at least one dog owner on our walk? What is the probability we see only Margo or only Gary? Are the events seeing Gary and seeing Margo independent? EXPLAIN briefly. Are the events of seeing Lesley and seeing Gary mutually exclusive? EXPLAIN briefly.
The principal of Paul Revere High School bragged that his 2016 graduating class of 1500 students achieved impressive scores on their ACT exams. He announced that an “astounding” 36% of the class got a score of 29 or higher, 54% got a score of 21 to 28, and only 10% less than 21. You want to test whether these ACT results are really that astounding. You visit the ACT website to see that the national results are 34% getting a score over 28, 58% getting 21 to 28, and 8% less than 21. Test whether or not the principal is correct to brag that his proportions were more impressive than the national performance. Use an alpha of 0.05. So I kinda understand the question. I am mostly confused about how to determine the degree of freedom to get the critical value. Like I know the formula is d-C, and C is the number of categories in the word problem, but is there 3? Or am I just totally wrong?
College instructors who adopt this book are (we hope!) twice as likely to continue to use the book the following year as they are to drop it, whereas nonusers are four times as likely to remain nonusers the following year as they are to adopt this book In the long term, what proportion of college instructors will be users of this book?