What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.) There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1cm.USE SALTWhat is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)0.6827What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)0.9773XWhich machine is more likely to produce an acceptable cork?the first machinethe second machineYou may need to use the appropriate table in the Appendix of Tables to answer this question.

Answered: Image /qna-images/answer/d578d768-6926-4c19-a705-3e525ac53b80.jpg

Answered: There are two machines available for…

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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d. Find the probability that X takes an even value. e. Find P(3 less than or equal to X less than or equal to 10)?
Determine each of the following areas andshow these graphically. Use probability notation in your final answer. 1. above z = -1.08 2. below z = -1.08 3. between z= -1.08 and z=0.80
Probability. Only question c.
Giving a test to a group of students, the grades and gender are summarized below A В C Total Male 9 20 35 Female 12 10 17 39 Total 21 16 37 74 Write all solutions as a decimals rounded to the fourth decimal place. If one student is chosen at random, Find the probability that the student got an A: Find the probability that the student was female AND got a "C": Find the probability that the student was female OR got an "C": If one student is chosen at random, find the probability that the student was female GIVEN they got a 'A':
Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test result, given that the subject has the disease. What would be an unfavorable consequence of this error? The individual actually O had the disease Yes No Positive 334 Negative 13 1176 EEE .E The probability is (Round to three decimal places as needed.) What would be an unfavorable consequence of this error? A. The test would be shown to be not effective. OB. The subject would experience needless stress and additional testing. Gradebo O C. The subject would not receive treatment and could spread the disease. Sco O D. The test would be shown to be not reliable. see scor
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Charlie is about to take two laps in the school swimming pool. The time of his first lap is X minutes, where X is an Exponential(1) random variable. The time of his second lap is Y minutes, where Y is an Exponential(X) random variable. What is the probability that he completes his second lap within one minute?
A company that explores for oil in the ocean is considering two new sites, A and B. The exploration will take the entire year. The company estimates the probability of finding oil is 0.19 at site A and 0.03 at site B. The sites are far enough apart so that whether or not oil is found at one site is independent of it being found at the other. Round your answers to three decimal places, and use four decimal places in any interim calculations. Find the probability that the company will find oil at both sites: .006 Hint: Try making a probability table. only one of the sites: 163 neither of the sites: least one of the sites:
Two bags of crayons contain an assortment of different colours. The probability of randomly selecting a red crayon from the first bag is 4/5. The probability of randomly selecting a red crayon from the first bag and a blue crayon from the second bag is 0.36. The probability, to the nearest hundredth, of selecting a blue crayon from the second bag is:
Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 28 and 45 minutes. Calculate the probability that the next room will require less than 35 minutes to clean. Select one: a. 0.412 O b. 0.4 c. 0.588 d. 0.2
A population proportion is 0.3. A sample of size 200 will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.05 of the population proportion?

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