Please answer a,b, and C An experiment consists of testing two integrated circuits that come from thesame silicon wafer, and observes each case whether a circuit is accepted (a)or rejected (r). Let A denote the event that the first chip tested is rejectedand B denote the event that the second chip is rejected. Consider the a prioriprobability modelP[rr] = 0.01, P[ra] = 0.01, P[ar] = 0.01, P[aa] = 0.97Solve for the following:a. P[A]b. Р[B]с. Р[B|A]一一一個Ans. a. 0.02b. 0.02. с. 0.5

Answered: An experiment consists of testing two…

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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Find the Type II error given that the null hypothesis, H0, is: there are no more than 15% of structures in the county were built without permits.And, the alternative hypothesis, Ha, is: a building inspector claims that more than 15% of structures in the county were built without permits. Select the correct answer below: The building inspector concludes that more than 15% of the structures in the county were built without permits when, in fact, no more than 15% of the structures were built without permits. The building inspector concludes that more than 15% of the structures in the county were built without permits when, in fact, more than 15% of the structures were built without permits. The building inspector cannot conclude that more than 15% of the structures in the county were built without permits when, in fact, no more than 15% of the structures were built without permits. The building inspector cannot conclude that more than 15% of the structures in the county were…
If the same hypothesis is tested often enough, it is likely to be rejected at least once, even if it is true. A pro-fessor of biology, attempting to demonstrate this fact, ran white mice through a maze to determine if white miceran the maze faster than the norm established by manyprevious tests involving various colors of mice.(a) If the professor conducts this experiment once withseveral mice (using the 0.05 level of significance), what isthe probability that he will come up with a “significant”result even if the color of the mouse does not affect itsspeed in running the maze?(b) If the professor repeats the experiment with a new setof white mice, what is the probability that at least oneof the experiments will yield a “significant” result evenif the color of a mouse does not affect its maze-runningspeed?(c) If the professor has 30 of his students independentlyrun the same experiment, each with a different groupof white mice, what is the probability that at least oneof these…
If a researcher were conducting a two-tailed/non-directional hypothesis test with an alpha of 0.10 and a sample of size n=120, what would the Zcrit value be?
A smartphone manufacturer is so certain of its quality control that it offers a complete replacement warranty if the smartphone fails within 3 years. Based upon compiled data, the company notes that there is a 2 percent chance that its smartphone will fail during the first year, a 10 percent chance that a smartphone that survives the first year fails during the second year, and a 20 percent chance that a smartphone that survives the first two years fails during the third year. The warranty does not cover replacement smartphones after the third year. (a) Formulate the evolution of the status of the smartphone as a Markov Chain whose states include two abosrbing states that involve needing to honor the warranty or having the smartphone survive the warranty period. Construct the transition probability matrix and draw the transition probability diagram. (b) Determine the probability that: (a) the manufacturer will have to honor the warranty and (b) the manufacturer will not…
A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation will feel any ill effects. If, in a random sample, only 1 of 19 per-sons exposed to such radiation felt any ill effects, test the null hypothesis θ = 0.30 against the alternative hypothe-sis θ < 0.30 at the 0.05 level of significance.
A manufacturer of COVID-19 vaccine is concerned about the quality of its formulation. As such, the batches of formulations are treated and inspected by three laboratory unit with probability rejection rates of 0.4, 0.05, and 0.18, respectively. Assuming that the process is done consequently for the three laboratory sections independently, evaluate the probability that a batch of COVID-19 vaccine formulations is accepted by the first and the second laboratory unit but is rejected on the last one.
suppose that a satellite defense systen is establised in which four satellites acting independentlty have a 0.9 probability of detecting an incoming ballistic missile. What is the probability that at least one of the four satellites detects an incoming ballistic missile? would you feel safe with such a system?
The company manufactures the inverters for the synchronous motors. The quality inspector has determined that in each package, 92% of the inverters are within the correct tolerance values with respect to their functionality, the remainder were out of tolerance. If a random sample of 8 inverters are drawn from the package, , determine the probabilities that 4 of the sample inverters are out of tolerance More than 5 of the sample inverters are out of tolerance Less than three of the sample inverters are out of tolerance. No one is out of tolerance.
In games of poker, it has been hypothesized that a companion coughs or scratches their nose whenever an opponent has a better hand, at which point the customer folds thereby minimizing losses. A casino observes 75 hands of poker that the customer has played: Customer Folds Customer Doesn't Fold Coughs 15 6 Scratches 6 4 No Signal 11 11 Test the null hypothesis that the probability of folding is independent of the probability of a cough and the probability of scratching versus the alternative hypothesis that they are not independent. State your conclusion at the a = 0.01 level and the p-value of this test.
Suppose that the number of accidents occurring on a highway each week is a Poisson random variable with parameter lambda(λ) = 7. a) What is the probability that there there are at least 4 accidents in a week? b) Given that at least one accident occurs in a week, what is the conditional probability that the accident occurs 5 times or less in a week?
Suppose a random sample of 110 companies taken in 2005 showed that 26 offered high-deductible health insurance plans to their workers. A separate random sample of 120 firms taken in 2006 showed that 31 offered high-deductible health insurance plans to their workers. Based on the sample results, can you conclude that there is a higher proportion of companies offering high-deductible health insurance plans to their workers in 2006 than in 2005? Conduct your hypothesis test at a level of significance α=0.02. Let p1 be the population proportion from 2006, and let p2 be the population proportion from 2005. F. H0: p1−p2≤0 HA: p1−p2>0 Determine the critical value(s). z Subscript alpha zα =2.052.05 (already done) (Use a comma to separate answers as needed. Round to two decimal places as needed.) Calculate the test statistic. z=_____ (Round to four decimal places as needed.)
When is a researcher at risk of making a type 2 error? whenever H0 is rejected whenever H1 is rejected whenever H0 fails to reject the risk of a type 2 is independent of the decision from a hypothesis test

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