Susan took two tests. The probability of her passing bothtests is 0.6. The probability of her passing the first test is0.8. What is the probability of her passing the second testgiven that she has passed the first test?A) 0.48B) 0.75C) 0.45D 0.36

Susan took two tests. The probability of her passing both tests is 0.6. The probability of her…

Answered: 0.8. What is the probability of her…

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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14. QUESTION: Consider the following experiment. You draw a square, of width 1 foot, on the floor. Inside the square, you inscribe a circle of diameter 1 foot. The circle will just fit inside the square. You then throw a dart at the square in such a way that it is equally likely to fall on any point of the square. What is the probability that the dart falls inside the circle? (Think about area!) How might this process be used to estimate the value of r?
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
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The probability of afternoon rain given morning cloud cover >50% is of interest to those forecasting the weather. You can calculate this probability using Bayes' Theorem (below). The probability of morning cloud cover in general is 30% in the area you are concerned with and when there's afternoon rain, morning cloud cover of the kind described above occurs 90% of the time. The probability of rain in general for the area is about 26% of days. From the above information, identify what P(BIA) would be. Express your answer as a proportion, rounded to two decimal places. P(A/B)= = P(B|A)*P(A) P(B)
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2. Wallace figures his chances of getting a new car for graduation at 70% if he graduates as class valedictorian. He only has about a 25% chance of getting a new car if he graduates 2nd or lower. He estimates his chances of being valedictorian at 50/50. What is the likelihood that Wallace will get a new car?
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A sales representative in the music section of Best Buy notes that 15 percent of her customers buy 'The Best of Norah Jones' and 'Classical Guitar by John Williams'. She also knows that 80 percent of customers buy 'Classical Guitar by John Williams'. Given that one of her customers bought 'Classical Guitar by John Williams', what is the probability that the customer will also buy 'The Best of Norah Jones'? (Round your answer to 3 decimal places) 0.800 0.150 0.650 0.188 None in the list

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0.8. What is the probability of her passing the second test given that she has passed the first test?