A paper demonstrated the application of Bayes's Rule for making inferences about testosterone abuse among athletes.In a population of 1000 athletes, suppose 150 are illegally using testosterone. Of the users, suppose 75 would testpositive for testosterone. Of the nonusers, suppose 17 would test positive.a. Given that the athlete is a user, find the probability that a drug test for testosterone will yield a positive result. (Thisprobability represents the sensitivity of the drug test.)(Simplify your answer.)

Here the population of athletes is of strength 1000. Among them 150 are users of testosterone and…

Answered: A paper demonstrated the application 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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A coin is tossed 4 times and gives four heads in a row. You say “I guess that the fifth toss will result into a head with a probability of 1.”
A Japanese firm which maks electronic goods have fond that the 0.1% of products are defective. The probability that randomly selected product is defective is a/an … Select one: a. subjective probability b. apriori probability c. empirical probability
25)
The results for a test given by a certain instructor not in the School of Sciences by grade and gender follow. A B C Total Male 20 5 6 31 Female 13 4 10 27 Total 33 9 16 58 Find the probability that a randomly selected student earned a grade of 'B' given that the student is male.
Q. 2 If A and B are two events associated with an experiment and P(A) = 0.3, P(AU B) = 0.5, and P(B) = p. Find the choice of p for which event A and B are mutually exclusive.
On a certain chemistry class, a professor has observed that, on her past final exams, 72% of the students pass the final exam. Assume that students in the current class perform similarly. a. If the professor currently has a large lecture class of 125 students. What is the ESTIMATE probability that 75 to 100 students will pass the final exam? b. In addition to the large lecture, if the professor has an evening class of 30 students, what is the ACTUAL probability that 18 to 22 students will pass the final exam?
Q. 1 It is estimated that 80% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume that
Consider an M/M/1 queuing system with mean inter arrival time of 4 minutes. The average service time for each customer is 3 minutes. The probability that there are 3 arrivals in the system is closest to O a. None of these O b. 0.105 Oc. 0.895 O d. 0.422
USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. x 0 1 2 3 4 5 P(x) 0.229 0.360 0.224 0.169 0.017 0.001 a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) b) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)? = prisonersc) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)? = prisoners
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.95 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes. (a) Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. = (b) What is the probability that in the long run the traffic will not be in the delay state? (Enter your probabilities as fractions.) No Traffic Delay Traffic Delay π 1 =…
According to a certain organization, approximately 26% of adults in the United States live with a disability. This includes disabilities affecting mobility, cognition, vision, hearing, and others. Suppose that we select a random sample of five US adults, and let x = the number of adults out of five that live with a disability. The methods of Section 5.2 can be used to compute the probability assignments for the x distribution. x 0 1 2 3 4 5 P(x) 0.222 0.390 0.274 0.096 0.017 0.001 (d) Compute ?, the expected number of adults living with a disability out of five. (Round your answer to two decimal places.) ? = adults (e) Compute ?, the standard deviation of the number of adults living with a disability out of five. (Round your answer to two decimal places.) ? = adults
A manufacturer of light bulbs may want to be reasonably certain that less than 3% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment. Each tested and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.03? the manufacturer's alternative hypothesis is? A. The fraction defective light bulbs in the entire population is less than 0.03 B. The probability defective light bulbs in the sample is less than 0.03 C. The mean defective light bulbs in the entire population is less than 0.03

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