I want to know follow the equation is true. Condition: C(1, 0) : the cost of misclassifying a sample in class 1 to 0 C(0, 1) : the cost of misclassifying a sample in class 0 to 1 P(Y) : prior probability p(x|Y) : likelihood Í want to know. (Is correct? If it is correct, why?) p(x[Y=O)P(Y=O) = C(0, 1) p(x|Y=1)P(Y=1) = C(1, 0) %3D
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- 7. Let X1, X2,..., Xn be a random sample from f(x; 0) = 0e-O¤I(0,0) (x). Find a 100y or (1 – a)100 percent confidence interval for the mean of the population.Given X and Y are two events. LetP(M)= 0.49, P(N) = 0.44, P(MN) = 0.17 Find the value of P(M/N'),given M and N are two events.cORLEM 2. Arandom variable X has the following probability Function find the value of K i) ii) Mean iii) Variance iv) P (X>3) v) p(1Q1. let Y₁ < Y₂ < Y3 < Y4 < Y5 are the order statistics of the random sample of size 5 from the distribution : f(x) = 3x², 04. Estimation based on a function of the observation. Let e be a positive random variable, with known mean p and variance o?, to be estimated on the basis of a measurement X of the form X = vOW. We assume that W is independent of e with zero mean, unit variance, and known fourth moment E[W4]. Thus, the conditional mean and variance of X given O are 0 and 0, respectively, so we are essentially trying to estimate the variance of X given an observed value. (a) Find the linear LMS estimator of e based on X = x. (b) Let Y = X?. Find the linear LMS estimator of O based on Y = y.3 500 0≤x≤ys 10 1. Find the expected value of Y. f(x, y) =Part (i) The chance of developing breast cancer is under 11% for women. Ho: M=11, Hg μ#11 Ho: M211, Hg: μ 11 Ho: p=0.11, H₂: P# 0.11 O Ho: Ho: P 20,000, Ο Ηρ: μ 5 20,000, O Ho: p = 20,000, O Ho: p ≤ 20,000, O Ho:p> 20,000, Ho: μ ε 20.000, O Ho: p≥ 20,000, Additional Materials Reading Hg μ 5 20,000 Hg μ > 20,000 Ha: p= 20,000 Hp> 20,000 He: p ≤ 20,000 Hg με 20,000 Ha: p<20,000Given Y it = B 0 + B 1Treated i + B2After t + B3(Treated i*After t) + e it, the expected value of the dependent variable for those who in the control group after the treatment was administered is: A. B0 + B1 + B2 + B3 B. B0 + B2 C. B0 + B1 D. B0 + B1 + B3Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributedSEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON