Let X and Y have the joint pdf f(x,y)=cx^2y,−y≤x≤1.5,0≤y≤1.5 a) Determine the value of the constant cc b) Give the value of the marginal pdf fX(x) at x = -0.5 c) Give the value of the marginal cdf FX(x) at x = 0.5 d) Give the value of the conditional distribution fX|Y(x|Y=0.5) at x = 0.5
Q: Let the random variable X have the pdf f(x) = e-ª for 0 < x < ∞, and 0 elsewhere. Compute the…
A:
Q: Let X, be i.i.d random sequence of a Normal random variables with mean zero and variance o?. X,+X_…
A:
Q: Calculate the standard deviation of x and y, then the correlation(x,y)
A:
Q: Let X1, X2 denote two independent variables, each with a x^2(2) distribution. Find the joint pdf of…
A:
Q: X is known to follow the Beta distribution with the parameter 0 = 1000, a = 2, b = 1. wwwww Define…
A:
Q: Show that the t-distribution with r = 1 degree of freedom and the Cauchydistribution are the same.
A: We have to prove that the t distribution with r=1 degree of freedom and the Cauchy distribution are…
Q: Recent research indicates that the effectiveness of anti-depressant medication is directly related…
A: The one way ANOVA is used to determine the whether there is any significance difference between the…
Q: 7 Let X1,...Xn be iid Normal( θ+ c, σ^2), where c and σ ^2 are known constants (i.e., E(Xi) = θ +…
A:
Q: Determine the expected value of g(x,y) = (X^3)+(Y^2)
A: Solution
Q: Find the MLE estimator of θ .
A:
Q: 7) Suppose the function Y have a hypergeometric distribution such that- N = 16, n = 5, k = 6 Find i)…
A:
Q: let Yn denote the arandom sample tirst order statistic of from Exponential (e) Find limiting…
A:
Q: E[X] and E[Y] and variances VAR[X] and VAR[Y]. (to be used below in CORR(X,Y)) Using part b, Can you…
A:
Q: X is a normally distributed variable with mean μ = 35 and standard deviation σ = 5. Find a) P(x 21)…
A: given that information x is a normally distributed variable with mean μ = 35 and standard deviation…
Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 25 psi.…
A: Let, random variable X be the actual pressure for the right tire and random variable Y be the actual…
Q: If X~beta(3,2) is independent of Y~beta(3,4), what is the distribution of X+Y
A: The objective of this question is to find the distribution of the sum of two independent random…
Q: Suppose X ~ a) Find the expected value of the cost per loss, E [Y,]. b) Find the Variance of the…
A: Given X~Parα=4, θ=300 with d=20
Q: X is a normally distributed variable with mean μ = 35 and standard deviation σ = 5. Find a) P(x 21)…
A: Given problem Given that X is a normally distributed variable with mean μ = 35 and standard…
Q: Let X a b(4,) find Var(3x) and distribution function.
A:
Q: 17. Let (y1, Y2, ..., Yn) be a random sample from a normal distribution such that E(y;) = a + Bxi,…
A:
Q: Let X~ Normal(2, 1) and Y = 2X-3. What is the distribution of Y? a. There is insufficient…
A:
Q: Let a and b be any real numbers and let x = (x,. Xz ----Lp --,L) be a data set with a sample mean f…
A:
Q: Suppose the inter-arrival time of people using the elevator can be modeled as X ~ Exp(1/6) (in…
A: From the given information, It has been given that X is the random variable that shows inter-arrival…
Q: The number of clients a store has during a week is Poisson distributed with mean A = 25. The amount…
A: The moment generating function is, ϕt=e1000t+250t2 Mean: Et=ddtϕt by putting t=0…
Q: Let X ~ N(0,1), the standard Normal distribution. (a) Determine the 3rd moment of X. (b) Determine…
A:
Q: Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker’s…
A: *Answer:
Q: A) What is the z-score of x = 3, if it is 1.1 standard deviations to the left of the mean? B)…
A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…
Q: 8) What is the value of x? (Just type your answer. For example, if x0, just type 0.) бх - 26 3х + 34…
A:
Q: In statistics, the range is computed as the difference between the minimum and maximum values…
A: Range(x) = Max(x) - Min(x) First we need to find the PDFs of max(X) and min(X).
Q: (1 point) Let Y be a Binomial variable counting the number of successes in 70 independent trials…
A: It is given that the, Y be a Binomial variable with parameters n=70 and p=0.57 i.e. Y~Bin(70,0.57)…
Q: T has an exponential distribution such that P(TS2)=2P(T>4) What is Var(T)=
A:
Q: (4x Q2. Let f(x) = { 4(1 – x) 1/2 3/4) c) Find the probabilities given in part (b)
A: f(x) = 4x , 0 ≤x≤1/2 4(1-x) , 1/2 ≤x ≤1
Q: If the distribution function f(q) for some physical property q is even, it follows that q = 0. Does…
A: The evenness of the distribution function f(q) only implies that the probability density function…
Q: If the random variable X has uniform distribution on the interval [0, a], what is the probability…
A: Solution
Q: Right tail test with t-calc = 2.557 and degrees of freedom = 30. p-value of the test is: a) 0.005…
A: Given, Right tail test Test Statistic: 2.557 Degrees of freedom: 30 The objective is to find the…
Q: Let X be a random variable with a uniform distribution over the interval [-2 , 4]. Determine the…
A:
Q: Let X ~ Beta (2, 2) and Y = 1 / X^2. • Find the cumulative distribution function of Y. • Calculate…
A: Given X~Beta2, 2 and Y=1X2
Q: In statistics, the range is computed as the difference between the minimum and maximum values…
A: Range is equal to maximum value minus minimum value
Q: Let iid X1,, X, Irwin-Hall distribution(n) 수) 2n Find the pdf of S = E X;. with MGF %3D Irwin- Hall…
A: Solution : Given that , X1,X2,........Xn iid random variables follows Irwin - Hall distribution (n)…
Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi.…
A:
Q: Products A and B have the same daily demand distribution; Normal with mean 200 and standard…
A: Solution: Given information: The daily demand distribution of producr A and B are normal with given…
Q: (16) Let X =U(3) find Var(-x) and distribution function.
A:
Q: Let X1,X2,.,X, be a random sample from f(x;8) = 0e-nI(0,0)(x). Find a 100y or (1 - a)100 percent…
A: Given that, Let X1,X2,X3,.....,Xn be a random sample fx;θ=θe-θxI0,∞(x)…
Q: Suppose X - Fm,n- a) Find the distribution of 1/X. b) Find the distribution of (m/n)X Y = 1+ (m/n)X…
A: Given, X~Fm,n. The pdf of F-distribution is, f(x)=mnm2.xm2-1B(m2,n2) (1+mnx)m+n2
Let X and Y have the joint
f(x,y)=cx^2y,−y≤x≤1.5,0≤y≤1.5
a) Determine the value of the constant cc
b) Give the value of the marginal pdf fX(x) at x = -0.5
c) Give the value of the marginal cdf FX(x) at x = 0.5
d) Give the value of the conditional distribution
fX|Y(x|Y=0.5) at x = 0.5
Step by step
Solved in 4 steps with 3 images
- Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. An article proposes a Weibull distribution with a = 2.6, B = 1.8, and y = 0.5. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter y, called a threshold or location parameter: replace x in the equation below, a -x« – le-(x/B)ª Ba x 2 0 f(x; а, B) %3D x y.] (a) Calculate P(1 1.5). (Round your answer to four decimal places.) 0.8050 (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.980 |× days (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) 1.594 х days mean standard deviation 0.585 X daysQ5/ Let X1, ., X,n be a r.s. from population with p. d.f. f(x) = 0, 0> x>0* 0.W. X(1) Let X(1) < .. < X(n) be the order statistics. Find the p. d. f. of U = ) %3D X(n)The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ> 0 year and power β = 2. Determine a) The half life of concrete EXb) The variance VXc) The probability that the concrete lasts more than 10 years; P (X> 10)
- Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.Let X1,., Xn all be independent exponential distributions all with the same parameter 2. What is the distribution of the minimum of (X1,. a) what is the distribution of the smallest order statistic Y, ? b) Specify both the pdf of the distribution and describe the distribution and its parameters. ,Xn)? In other words:X is a normally normally distributed variable with mean u =10 and standard deviation a =4. Find A) P(x 1) C) P(10In a continuous-time surplus model, the claim severity is distributed as BN(2, 0.4). Determine the Lundberg upper bound for the probability of ultimate ruin if the initial surplus is 2 and the prIn a continuous-time surplus model, the claim severity is distributed as BN(2, 0.4). Determine the Lundberg upper bound for the probability of ultimate ruin if the initial surplus is 2 and the premium loading factor is 0.25.emium loading factor is 0.25.الموافق foo an exponentiaL distribution fx Cx jt) e.w. where u>o Write (Dankderive) meancespedoed V9lue) f.eECx)let Y be a single observation from a normal distribution with mean θ and variance θ^2, θ>0.PLease Show all work so I can UnderstandUnder the proportional reinsurance scheme of a certain risk S, the risk assumed by the insurer is S^A = aS, and the premium received is ap. Suppose that the initial capital of the insurer to cover said risk is u. Show that the default probability P (aS>ap + u) is an increasing function of a ∈ (0, 1).Write a function mysquares[v, m, μ, o] that constructs m samples of v sums-of-squares of the deviation from the mean (as in the workbook) with the X; drawn from the normal distribution N(μ, o). Also write histxsq[v, m, µ, σ] to plot a PDF histogram of your samples (with Automatic bspec), with the appropriate x² PDF plotted over the top. With m = 10 000, plot a few examples to see how well the x² distribution fits your samples. [Say v= 2, µ = 1, σ=2; v = 6, μ = 3, 0 = 10; v = 16, μ = 0, 0 = 1.]SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman