UTMUTM5. Two processes A and B, were used to produce stainless steel shafts in an industrial company.Process A and Process B produce 9% and 12% nonconforming stainless steel shafts,respectively.UTMUTM SUTMa. A random sample of 100 stainless steel shafts were taken from Process A. What is theUTM UTMprobability that more than 95% of the stainless steel shafts are conforming?UTMUTMb. A random sample of 90 stainless steel shafts from Process A and 80 stainless steel shaftsUTMUfrom Process B were taken randomly. Find the probability that the difference betweenproportion of the nonconforming stainless steel shafts from Process A and Process Bis at most 0.1.UTM UTMUTMUTMUTMUUTMU

Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Answered: 5. Two processes A and B, were used to…

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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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.
4. I would like to design a randomized experiment in which only 1 factor is being investigated. I am assessing if varying the filtration time affects the volume of filtrate collected after 5 hours. What is random variable being investigated here? A. filtration time B. filtrate C. volume of filtrate D. type of filter paper 5. Which is a proper way of conducting this experiment (#4 problem)? A. Set 3 different volumes of filtrate and measure filtration time of 2 observations each. B. Set 3 different filtration times and measure at least 2 observations of filtrate volume for each. C. Set 2 different filtration times and measure at least 3 observations of filtrate volume for each. D. Set 2 different volumes of filtrate and measure filtration time of 3 observations each.
2. A fastíood chain's softdink machine is calibeated so that it disperses an avernge of 225 millilitres per eup The amount of drink is noemally distrbuted with a standared deviation equal to 15 mllilites • a. What is the probability that a cup will contain more than 242 militers? • b What is the probabiity that a cup contains betwren 202 and 215 milliliters?
A manufacturer of widgets wants to test a new widget-producing machine to determine if it can make an average of 25 widgets per second before deciding to invest in the machine. The standard to reject the new machine is if it makes an average of less than 25 widgets per second. Here are data from a small random sample:25.6, 26.2, 22.5, 20.5, 26.4, 27.4, 23.6, 26.9, 25.7, 24.9Assuming the population follows a normal distribution, is there evidence that the new machine should be rejected at the 0.01 significance level? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
4. Manufacturer A's television picture tubes have a mean lifespan of 7.3 years and a standard deviation of 0.57 years; while those of manufacturer B have a mean duration of 6.39 years and a standard deviation of 0.42 years. What is the probability that a random sample of 39 kinescopes from manufacturer A will have a mean lifespan that is 1 year less than the mean lifespan in a sample of 43 kinescopes from manufacturer B? Round your answer to four decimal places after the period.
In a certain country, 47 percent of the population are on a strict diet. In a sample of 130 individuals, find the expected value and the variance for the number of individuals who are on a strict diet. Şelect one: O a. 56.4 and 29.89 O b. 70.5 and 37.37 O c. 56.4 and 32.38 O d. 61.1 and 34.87. O e. 61.1 and 32.38 Of. 65.8 and 37.37 O g. 65.8 and 34.87 O h. 70.5 and 29.89
3. The amount of time it takes a TELNOR cashier to serve customers in service by car is a normally distributed random variable, with mean 3.2 minutes and standard deviation 1.6 minutes. Given a random sample of 64 customers served in a day, find the probability that the average time spent serving these customers is: (a) less than 2.7 minutes b) more than 3.5 minutes c) at least 3.0 minutes, but less than 3.4 minutes.
3. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews.
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 20% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 67 of the dragon eggs to incubate. Consider all the possible samples of 67 dragon eggs. What is the mean number of yellow eggs in samples of 67 eggs? (that is the same as asking for the expected value of the number of yellow eggs) (Give answer correct to at least one decimal place.) mean = What is the standard deviation in the number of yellow eggs in samples of size 67? (Give answer correct to at least one decimal place.) standard deviation = What is the variance in the number of yellow eggs in samples of size 67? (Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.) variance =
5. One roll of a 'fair' six-sided die has an expected value or mean of 3.5 with a variance of 2.92. Suppose you plan to roll a die 60 times and compute the mean value in an effort to determine whether it is a fair die. (Fair in this case means that each of the six sides has an equal probability of being the roll value.) a. Use a z value of 1.85 to compute an interval around a fair die's population mean that can be compared to the mean of the 60 rolls of the potentially fair or unfair die if the mean of the sample is 3.3. b. When a z value of 1.85 is used to compute a confidence interval around an unfair die's sample mean from 60 rolls, what is the confidence level for the interval?
A pallet of 10 automobile chassis has arrived at the quality control sector of a manufacturing plant. The quality control manager will reject the whole pallet if one of these chassis is defective. Suppose chassis are defective independently of one another, each with the same probability, p. Suppose that 90.8648% of all packages are sent to the next assembly line. Find the value of p, i.e. the probability of defective
4. Manufacturer A's television picture tubes have a mean lifespan of 7.23 years and a standard deviation of 0.72 years; while those of manufacturer B have a mean duration of 6.46 years and a standard deviation of 0.44 years. What is the probability that a random sample of 38 kinescopes from manufacturer A will have a mean lifespan that is 1 year less than the mean lifespan in a sample of 42 kinescopes from manufacturer B? Round your answer to four decimal places after the period.

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