You are given the following data sets, X represents the data collected from an infra red (IR) receiver when there was no target in front of the transmitter and Y represents the data collected from an IR receiver when a target was present in the field of view of the transmitter. With these data sets, obtain apriori probabilities. Obtain the probabilities of false alarm, miss and error rates when the threshold is set at 3, 5, and 6. We expect the presence of the target to result in higher values of the measurand. X=[1.6978 7.7368 8.7591 1.9001 0.7486 0.2048 6.1228, 1.6926 2.2690 13.2931];
Y=[11.4976,4.5624,17.0159,5.1402,8. 9841,8.9526,2.0939,6.1407];

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.

Find the solution on the interval [0, 2pi)