10. The probability that Anya will be wearing her favourite shirt on a day of a test is 60%. She hasfigured out that if she wears her favourite shirt, the probability that she gets an A on a test is 70%.However, there is only a 25% chance she will get an A if she does NOT wear her favourite shirt.a) Construct a tree diagram that illustrates all the possible outcomes in the above scenarios. Be sureto define your variables, include all necessary values, and use proper set notation.b) Use the information in the tree diagram above to determine the probability that Anya will getan A on any given test. Be sure to use appropriate notation in your solution. L.

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Answered: 10. The probability that Anya will be…

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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A study reported that about 40% of high school students have tried out for a sport at their school. To find out if this applies to Jessica’s school, she surveyed an SRS of 20 students. Nine of them said that they had tried out for a sport. To see if this result is surprising, a simulation is to be conducted to estimate the probability of obtaining a sample result as high as this one. Let 0–3 represent students who tried out for a sport and 4–9 represent students who did not try out for a sport. Using the line of random numbers to run one simulation, what proportion of students tried out for a sport? 0.40 0.45 0.50 0.60
A national sports equipment co-op is going to conduct a survey of its members. It knows from collecting data when members join that 68% of them identify as male. Assuming the total number of members is very large and 200 of them are randomly selected to take the survey, what’s the chance less than 60% of these randomly chosen members identify as male? Show all your work and write your answer as a percentage.
To start this problem you'll find it useful to draw a tree similar to the one in the picture. Your probabilities will differ from those shown in the picture. .20 80 .005 995 HR not HR .04 96 HR=high risk Four percent of the people in a certain city are in a high risk group for HIV infection, and 6% of the people in this high risk group are HIV positive. However, only 0.7% of the people who are not in the high risk group are HIV positive. (Hint: Pay special attention when converting percentages into a decimals in this problem.) Answer the following questions. (Give your answers correct to five decimal places.) (a) What is the probability that a randomly chosen person from this city is HIV positive? (b) What is the probability that a randomly chosen person from this city is both in the high risk group AND is HIV positive? (c) What is the probability that a randomly chosen person from this city is in the high risk group OR is HIV positive OR is both? (d) If you know that a specific person…
Answer j and k
A dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?
Rabbani company is a company that sells Muslim clothing. In their products for sale, there are two types of veil production different. The production manager stated that both types have the same percentage of damage/defects. To test the statement taken sample of 300 items from the first product and it turns out that there are 38 items that disabled. Meanwhile, from the second product, 400 items were taken as samples There are 56 defective items. With ?= 1% can the sample obtained be used as evidence to justify the statement?

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