Q2: Let X and Y have a bivariate normal distribution with parameters 4, H2 1,of = 16, a = 25 and p= 1. The value of E(x|y) is A. 63/75 O A В. 7/5
Q: Q2: Let X and Y have a bivariate normal distribution with parameters 4, = 2 = 1, o} = 16, a = 25 and…
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Q: Suppose X and Y have a bivariate normal distribution given by μX=2.9, μY=2.4, σX=0.4, σY=0.5, and…
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Q: Z is a normally distributed variable with mean μ = 0 and standard deviation σ = 1. Find P(z <…
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Q: 1. Determine the distribution of Y if its MGF is as follows: = cp[{{11+0²1²} exp inl a. my(t) =
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Q: Q2: Let X and Y have a bivariate normal distribution with parameters 4, = µ2 = 1,of = 16, a? = 25…
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Q: distribution with μ=48.5μ=48.5 and σ=30.9σ=30.9. You intend to draw a random sample of size…
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Q: 1. 1. The value of E(XY) is
A: Given that μ1=5.4, σ1=1.5, μ2=5.10, σ2=2, ρ=0.70 Y=6
Q: 1. The value of E (x\y) is
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Q: Q2: Let X and Y have a bivariate normal distribution with parameters µ = H2 = 1, 0} = 16, o = = 25…
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Q: 5 x}+x3+x3+x 4 Y?+Y3+Y?+Y?+ ard normal population. The distribution of T %3D
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- Short Answer 1. Use the normal approximation to find u and o in a binomial distribution with n = 1000 and p = 0.5.Please answer with a proper explanation.A population of values has a normal distribution with μ=185.7μ=185.7 and σ=57.5σ=57.5. You intend to draw a random sample of size n=57n=57.Find P25, which is the score separating the bottom 25% scores from the top 75% scores.P25 (for single values) = Find P25, which is the mean separating the bottom 25% means from the top 75% means.P25 (for sample means) =
- Let a = 0.05. (a) Suppose that we sample from a bivariate normal distribution with p = 0.5. Assuming that we observe r = 0.5, how large a sample will be needed to reject Ho: p= 0 in favor of Ho: p=0? (b) Suppose that we sample from a bivariate normal distribution with p = 0.1. Assuming that we observe r = 0.1, how large a sample will be needed to reject Ho: p= 0 in favor of Ho: p0?Find the value of k which make the following function a pdf (15 y - 2 sys0 64' 64 fW) ={ 3 + ky 0 < y< 3 8 elsewhere What is the P(-1 < Y S 2)? Find the cumulative distribution function of Y. Find the variance of Y.Q1:B B. Let X and Y have a bivariate normal distribution with parameters u, = 3, ly = 1,0 = 16, o, = 25, %3! and p = Suppose that P(c,If a random variable X follows normal distribution with mean 10 and standard deviation 50, write down its p.d.f. Also calculate P(X 10). -x? 2 e |Given: 4(1.96) = 0.975, þ(2.36) = 0.99, where (Z) = -dz] ov2nAssume two normal distributions where μ1 = 0.0001, σ1 = 0.01, μ2 = -.0002, σ2 = 0.015, and ρ = .45. Using zs = { .814, .259 }, generate z1 and z2.answer pleaseQ2: Let X and Y have a bivariate normal distribution with parameters 4, = 2 = 1, of = 16, af = 25 and p = 3. The value of P(-3Q2: Let X and Y have a bivariate normal distribution with parameters 4, = Hz = 1, af = 16, a 25 and p = %3D 3. The value of P(-3 < X < 3|Y = -4) is A. 0.9162 B. 0.6915 O B C. 0.6077 CLet the X-values represent the times, in minutes, of preparation for a Statistics test; let the Y-values represent the points earned on the test. Assume that the sample of paired (X, Y) data is a simple random sample of quantitative data and the data have a bivariate normal distribution. Also, the scatterplot shows that the points approximate a straight-line pattern. If the sample has 35 pairs of values with (Zx,Zy,) = 11.41, and if we use a significance level of 0.05, calculate r and determine whether if there is sufficient evidence to support a claim of a linear correlation between X and Y.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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