5. b) The reliability of an electrical fuse is the probability that a fuse, chosen at...
5. b) The reliability of an electrical fuse is the probability that a fuse, chosen at random from production, will function under the conditions for which it has been designed. A random sample of 1000 fuses was tested and x = 27 defectives were observed. Calculate the approximate probability of observing 27 or more defectives, assuming that the fuse reliability is .98.
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5. b) The reliability of an electrical fuse is the probability
that a fuse, chosen at...
4) A certain type of electrical fuse has a 0.02 probability of being defective. In a...
4) A certain type of electrical fuse has a 0.02 probability of being defective. In a random sample of 1000 such fuses, what is the probability that 25 or less are defective? What number of defectives would be significantly high? Why?
Problem 6 Five applicants for a job are ranked according to ability, with being the best....
Problem 6 Five applicants for a job are ranked according to ability, with being the best. These rankings are unknown to an employer, who simply hires two applicants at random. What is the probability that this employer hires exactly one of the two best applicants? Problem 7 Five motors ( through 5) are available for use, and motor 2 is defective. Motors 1 and 2 come from supplier I, and motors 3, 4, and 5 come from supplierIL. Suppose two...
Please only do questions e and f 2. Many electrical components were packed up for shipment...
Please only do questions e and f
2. Many electrical components were packed up for shipment overseas, with 5 items per box. Unfortunately the shipment was exposed to a fairly high dose of ionising radiation. The owners were concerned that some of the components could have been damaged. On arrival at their destination a random sample of 60 boxes was taken. Each box in the sample was opened and the number of defective components was tested. The results are given...
B2. (a) Suppose θ is an unknown parameter which is to be estimated from a single measurement X, distributed according to some probability density function f(r0). The Fisher information I(0) is define...
B2. (a) Suppose θ is an unknown parameter which is to be estimated from a single measurement X, distributed according to some probability density function f(r0). The Fisher information I(0) is defined by de Show that, under some suitable regularity conditions, the variance of any unbi- ased estimator θ of θ is then bounded by the reciprocal of the Fisher information Var | θ 1(8) Note that the suitable regularity conditions, which are not specified here, allow the interchange of...
Please do 4 and 5 MAT2572 Probability and Mathematical Statistics Final Exam Name o Show your work. Your answers mus...
Please do 4 and 5
MAT2572 Probability and Mathematical Statistics Final Exam Name o Show your work. Your answers must be neatly written and logically organized to receive full credit. 1. (10) The tributed with a standard deviation of 400 hours. Suppose that a randotn sample resulted in an average lifetime of 9000 hours. Obtain a 95 percent of the mean lifetime of such a tube. e life of a particular brand of television picture tube is known to be...
The number of flaws x on an electroplated automobile grill is known to have the following...
The number of flaws x on an electroplated automobile grill is known to have the following probability mass function: p(0) = 0.6; p(1) = 0.2; p(2) = 0.1; p(3) = 0.1 a) Is this random variable continuous or discrete? Justify your answer. b) Verify that this is a proper mass function c) What is the probability that a randomly selected grill has fewer than 2 flaws? Calculate the probability, and use proper probability notation. d) What is the probability that...
For a large supermarket chain in a particulate a women's groue dained a female employees were...
For a large supermarket chain in a particulate a women's groue dained a female employees were passed over for management training in favor of their male colleagues. The company denied is dan, saying picked the employees from the ele pool at random to receive this training Side, the large pool of more than 1000 eligible employees who can be tapped for management training 48% female and 58% male. Since this program began, 23 de 46 cmployees chosen for management training...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8 & 9). No number can be repeated. How many different three-digit numbers are possible if 1 and 2 will not be chosen together? Select one: a. 462 b. 672 c. 336 d. 210 A tire manufacturer claims that the average life of a certain grade of tire is 50,000 miles or more when used under normal driving conditions. A random sample of 20 tires...
Please do all questions... A cell phone battery manufacturer claims that one of their batteries for...
Please do all questions...
A cell phone battery manufacturer claims that one of their batteries for a particular cell phone will outperform a competitor's equivalent brand. To establish this claim, a researcher selected samples of the two brands of batteries and perform accelerated tests on them in the lab under identical conditions. A random sample of 55 of the manufacturer's battery was selected and placed on test. A corresponding random sample of 55 of the competitor's battery was also put...
1. Many companies use a incoming shipments of parts, raw materials, and so on. In the...
1. Many companies use a incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experimem. The outcome for each component tested (trialD will be that the component is classified as good or defective defective components in the lot do not exceed 1 %. Suppose a random sample of fiver...
4) A certain type of electrical fuse has a 0.02 probability of being defective. In a random sample of 1000 such fuses, what is the probability that 25 or less are defective? What number of defectives would be significantly high? Why?
Problem 6 Five applicants for a job are ranked according to ability, with being the best. These rankings are unknown to an employer, who simply hires two applicants at random. What is the probability that this employer hires exactly one of the two best applicants? Problem 7 Five motors ( through 5) are available for use, and motor 2 is defective. Motors 1 and 2 come from supplier I, and motors 3, 4, and 5 come from supplierIL. Suppose two...
Please only do questions e and f
2. Many electrical components were packed up for shipment overseas, with 5 items per box. Unfortunately the shipment was exposed to a fairly high dose of ionising radiation. The owners were concerned that some of the components could have been damaged. On arrival at their destination a random sample of 60 boxes was taken. Each box in the sample was opened and the number of defective components was tested. The results are given...
B2. (a) Suppose θ is an unknown parameter which is to be estimated from a single measurement X, distributed according to some probability density function f(r0). The Fisher information I(0) is defined by de Show that, under some suitable regularity conditions, the variance of any unbi- ased estimator θ of θ is then bounded by the reciprocal of the Fisher information Var | θ 1(8) Note that the suitable regularity conditions, which are not specified here, allow the interchange of...
Please do 4 and 5
MAT2572 Probability and Mathematical Statistics Final Exam Name o Show your work. Your answers must be neatly written and logically organized to receive full credit. 1. (10) The tributed with a standard deviation of 400 hours. Suppose that a randotn sample resulted in an average lifetime of 9000 hours. Obtain a 95 percent of the mean lifetime of such a tube. e life of a particular brand of television picture tube is known to be...
For a large supermarket chain in a particulate a women's groue dained a female employees were passed over for management training in favor of their male colleagues. The company denied is dan, saying picked the employees from the ele pool at random to receive this training Side, the large pool of more than 1000 eligible employees who can be tapped for management training 48% female and 58% male. Since this program began, 23 de 46 cmployees chosen for management training...
Please do all questions...
A cell phone battery manufacturer claims that one of their batteries for a particular cell phone will outperform a competitor's equivalent brand. To establish this claim, a researcher selected samples of the two brands of batteries and perform accelerated tests on them in the lab under identical conditions. A random sample of 55 of the manufacturer's battery was selected and placed on test. A corresponding random sample of 55 of the competitor's battery was also put...
1. Many companies use a incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experimem. The outcome for each component tested (trialD will be that the component is classified as good or defective defective components in the lot do not exceed 1 %. Suppose a random sample of fiver...
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