■ P(w₁)= and P(w₂) = 1 - P(w₁) 0 and Xb,w₁ = 6 The two training points for w₁ are xa,w₁ = = 9 The two training points for w₂ are xa,w₂ = 7 and Xb,w₂ Please, (a) find the simplest discriminant functions for the Bayes Decision Rule = =
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- A manufacturing company employs two devices to inspect output for quality controlpurposes. The first device can accurately detect 99.2% of the defective items it receives, whereasthe second is able to do so in 99.5% of the cases. Assume that five defective items are producedand sent out for inspection. Let X and Y denote the number of items that will be identified asdefective by inspecting devices 1 and 2, respectively. Assume that the devices are independent.Find: a. f Y|2(y) b. E(Y│X=2)= and V(Y│X=2)=Concerned with the number of maintenance visits the rocket can undergo before being out of service, you have been informed that the recent statics show a that after the first journey to the outer space, the rocket was sent to service once, and after that the number of maintenance visits increase by 1 after every journey, for instance, after the second journey, the rocket had to go to service twice before being re-used, three-times after the 3rd use and so on.A. Generate a rule for the number of visits to the maintenance department with respect to space journeys, is this rule arithmetic or geometric.B. How many journeys will it take to for the number of service visits after a certain journey exceed 10?C. The rocket is not to be re-used again if the total number of maintenance visits exceed 50, then how many journeys will a single rocket serve before being out of service?While testing the path of the rocket while ascending towards the space, it was found that the rocket rises 480…Analyze the stability of the critical point of the following system, proposing as a Lyapunov function V(x,y)=ax2m+by2n