Question 1.1 The joint PDF of X and Y is equal to 0.5 on the parallelogram that is shown below, and is equal to zero elsewhere. Answer the following questions about these two random variables. (Please include all your calculations. You will not get any mark if you only write the final answer.) b 1 -1 a -1 What is the marginal PDF of Y? 1.

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A: n=36, σ=4, μ=8, x̄=7

Q: Question 2 Let X1,..., X, be an independent and identically distributed sequence of random variables…

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Q: QUESTION 4 If the level of significance of a hypothesis test is raised from 0.01 to 0.1, the…

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Q: QUESTION 3 An extreme Type Il random variable X has parameters u = 6.5 a

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Q: Question 21 The probability density function of random variable Xa given by 12(-) ocsel ochervise…

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Q: QUESTION # 02 For a Laplace random variable whose PDF is given by: fx(x) Find the characteristic…

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A: Given X=80, n=100,p=0.70 p^=X/n

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Q: QUESTION 8 Find the P-value for the indicated hypothesis test. An article in a journal reports that…

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Q: QUESTION 12 A random variable X has P(5<X<19) 2 0.75. Using Chebyshev's theorem, the mean and…

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Q: QUESTION 4 A normally distributed random variable X with variance o2=256 and P(X> 130)-D0.6554.Then…

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Q: Question.2: Let Y - X2. (a) Find the pdf of Y when the distribution of X is normal N (0, 1). (b)…

A: We know, E(Y)=E(X2)=V(X)+E2(X)V(Y)=E(Y2)-E2(Y)Then,E(Y2)=E(X4) a.)X~N(0,1) Here,μ=E(X)=0,…

Q: QUESTION 6 Two discrete independent random variables X and Y can take values 0 and 1 only. Fill in…

A: X=0 X=1 P(Y=y) Y=0 0.1 0.3 0.4 Y=1 0.2 0.4 0.6 P(X=x) 0.3 0.7 1

Q: QUESTION 1 Consider the following regression model, Yi=B1+B2X12++ BxXik+ ej E[e,x,]=0 and Varle,x)…

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Q: Question 2 Suppose Y is a continuous, uniform random variable that can take on any value between O…

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Q: Question 3: X is a Gaussian random variable with E[X] = 0 and P[-10<X<10] = 0.1. What is the…

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Q: Question 5. Random variable X denotes the number of classes that a typical student at College Bliss…

A: 0 1/4 = 0.25 0 0 0 1 1/2 = 0.5 0.5 1 0.5 2 1/4 = 0.25 0.5 4 1

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Q: QUESTION 12 A random sample of size n = 100, from a population with standard deviation g= 8,4 is…

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Q: Question 7. Let X be a random variable with variance 4. Also, let Y be a random variable with…

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Q: Question 1. Let X ...,X be a random sample from the Gamma distribution with density function 1…

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Q: Question 1…

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Q: Question 1 1. Suppose you are given that a continuous random variable has a moment generating…

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Q: Question 2. Suppose that X1, ..., X, are iid random variables having a Poisson distribution with…

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Q: 4. Question 4: Y is a discrete random variable with PMF (1/3, y = 1 2/3, y = 2 p(y) = (a) Find the…

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Q: QUESTION 1 A random sample of size n - 64, from a population with standard deviationg=74sued o test…

A: Given: n = 64 σ = 7.4 The test hypothesis are, H0: μ = 70 H1: μ = 65.5 We will reject H0 if,  X¯&lt;…

Q: Question 13 Two possible p-values are given. Which one provides the strongest evidence against H0?…

A: Give, p- value = 0.03 p- value = 0.0007

Q: QUESTION 19 Results that are significant indicate that the data has proven your hypothesis. True O…

A: From the given information in question  We answer the correct option

Q: QUESTION 20 A random sample of size n-64, from a population with standard deviation 9.5.is used to…

A: Ho: mu=73, H1:mu=75 Sigma=9.5 n=64 CR: { Xbar&gt;72.5}

Q: Question 14 (a) Consider the following statement and indicate whether it is true of false. In…

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Q: QUESTION 1 Let X1, X2, X3, X4 be the lifetimes (in hours) of a random sample of 4 light bulbs.…

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Q: Question 2 of 6 Let X and Y be random variables with E(Y) = 5, Var(Y) = 6, E(X) = 3, Var(X) = 4, and…

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Q: QUESTION 8 A newspaper believes that the approval rating of the current mayor is 60%. A pollster…

A: Given that  Sample size n =900 Favorable cases x =504 Sample proportion p^=x/n  =504/900 =0.56