Suppose we have data that suggest that 3% of a company’s hard disc drives are defective. You have been asked to determine the probability that the first defective hard drive is the fifth unit tested?
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- Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet Pet allergy status Test result Positive allergy. The probability that the test gives a positive result when a child 0.83 Pet really does not have a pet allergy is 0.07. The probability that the test gives allergy a negative result when a child really does have a pet allergy is 0.17. The tree 0.23 0.17 diagram shows the possible outcomes with the associated probabilities. Negative What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places. Positive 0.07 0.77 No pet allergy P(incorrect test result) = 0.93 NegativeYou are the manager of a manufacturing plant and you are responsible for quality control. Each day, a random sample of 10 items is selected from the production line and tested by a quality control technician. A item can be in good condition or defective, and the probability that an item is defective is 0.05. You know by experience that the technician records the result of the test on an item correctly 80% of the time. Let X be the number of items that were recorded as defective by the technician (in the sample of 10 tested items). (a) Find the probability P(X= 1). (b) If the technician recorded one defective item in the sample, what is the conditional probability that there was no defective item in the sample?Suppose the probability of an IRs audit is 4.2 percent for U.S taxpayers who file form 1040 and who earned 100,000 or more. what are the odds that such taxpayer will be audited? what are the odds against such taxpayer being audited?
- According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.38. The probability that their defense will have 3 or more sacks in the game is 0.21. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.05. What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game?According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.14. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.19. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.39. What is the probability that the Bucs will have 3 or more sacks in the game? Answer in decimal form. Round to two decimal places as needed.Suppose that 20.56% of all vehicles on the road get a fuel economy of at least 35 miles per gallon (MPG). You conduct an observational study on a stretch of road outside of campus and record the make and model of 727 vehicles over a month long period. What is the probability that greater than 21.1% of the cars you observed get at least 35 MPG? (please show how to plug this into a scientific calculator) Question 4 options: 1) 0.3593 2) 0.5000 3) <0.0001 4) -23.9437 5) 0.6407
- please answer the question down below!We believe that 95% of the population of all Elementary Statistics students consider Statistics an exciting subject. Suppose we randomly and independently selected 20 students from the population. If the true percentage is really 95% find the probability of observing 19 or more of the students who consider statistics to be an exciting subject in our sample of 20.The probability that a statistics graduate from a Canadian university gets a data science job is 0.6.Ten graduates applied for executive jobs.What is the probability that exactly 3 will get jobs, at least 2 will get a job, at most 8 will get a job, and no one will get a job?
- Question 1 In a survey of top executives, it was found that 54% had either traveled internationally on business or could fluently speak a foreign language. The probability that an executive who had not traveled internationally could speak a foreign language was 20%. It was found that only 2% of the executives had traveled internationally and could speak a foreign language. Imagine we randomly pick a top executive who answered the survey. a.What is the probability that the executive has not traveled internationally and does not speak a foreign language fluently? b.What is the probability that the executive does not speak a foreign language fluently? c.What is the probaility that an executive has not traveled internationally? d. If we had a random sample of 10 top executives (who responded to the survey), what would be the probability that two had traveled internationally? -.according to JD Power and associates 2006 Initial Quality study, customers reported an average of 1.8 problems per vehicle with new 2006 volkswagens. in a randomly selected new Volkswagen, what is the probability of more than 3 problems. Around your answer to 4 decimal placesAccording to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.26. The probability that their defense will have 3 or more sacks in the game is 0.15. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.06. What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game?