5.78 An automatic welding machine is being consid-ered for use in a production process. It will be con-sidered for purchase if it is successful on 99% of itswelds. Otherwise, it will not be considered efficient.A test is to be conducted with a prototype that is toperform 100 welds. The machine will be accepted formanufacture if it misses no more than 3 welds.(a) What is the probability that a good machine willbe rejected?(b) What is the probability that an inefficient machinewith 95% welding success will be accepted?

Step 1 : (a)Let X be a random variable representing the number of misses made by the machine pin…

Answered: 5.78 An automatic welding machine is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ion 16.84. An urn contains 3 one-rupee coins, 5 fifty paise coins and 12 ten-paise coins. If a coin is drawn at random, find the expected value of the draw, assuming that all coins are equally likely.
A sample of n=64 observation (independently drawn) is selected from a population with mean 20 and s.d.16. What is the probability that the sample mean is less than 15.5?
For a random sample of 300 bears, what is the probability of obtaining a sample mean less than 680 pounds? Round to 4 digits beyond the decimal point. (image for reference)
Suppose a plywood from a supplier are suspected to contain 2% that are below specifications. One thousand plywood were delivered by the supplier for the construction of form works for reinforced concrete structures. To ensure the quality of the plywood, the construction company randomly selected plywood and tested them for a specification compliance. Based on the suspected % defective plywood. a. Determine the probability that all 20 plywood will past the test. b. What is the probability that atleast 2 plywood will past the test.
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?
Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease is 95 % . A person who actually has the disease is tested for it using this procedure by two independent laboratories. (1) What is the probability that both test results will be positive? (ii) What is the probability that at least one of the two test results willI be positive?
In a genetics experiment on peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 15.7% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? | (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to five decimal places as needed.) c. What is the probability of not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.) d. Do the second and third alarm clocks result in greatly improved reliability? O A. No, because total malfunction would still not be unlikely. O B. No, because the malfunction of both is equally or more likely than the malfunction of one. OC. Yes, because you can always be certain that at least one…
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?
A certain cancer screening is able to detect existing cancer with a probability of 97%. A new method is developed, and in a study it is able to detect cancer in 1952 of 2000 cases. Test with significance : Can the claim be made that the new method is better?

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