EXERCISE 9 Answer the following questions: a. Let X - r(, B). Find the distribution of Y = using the method of cdf and the method of moment generating functions. b. Suppose X has the p.d.f. f(x) = 4r, 0 < a < 1. Use the method of edf to show that Y = -2ln.X follows a gamma distribution. What are the parameters of this gamma distribution?

Q: Denote the sample as X1,...,Xn is exponentially distributed Show the distribution of X-u in deitels

A: Given  Sample asx1 , x2 , ....... , xn is exponentially distributed

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Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

A: Solution: From the given information, the regression equation is

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Q: For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date…

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Q: Calculate the 95% log-transformed confidence interval for H(3), based on the Nelson-Aalen estimate.…

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Q: For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date…

A: Decision Rule : Reject H0 if P-value &lt; ? . Here P-value = 0.326 &gt; 0.10. Conclusion : By…

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Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

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Q: (e) Derive a (1 – a) × 100% confidence interval for 0 in the form of (cX(1); ) some positive…

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Q: For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date…

A: Decision Rule for hypothesis testing :  During a statistical test, the p- value helps us determine…

Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

A: The regression equation is y-cap =7.13-0.178x Strategy for Predicting the y value: Analyze the below…

Q: For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date…

A: From the provided information, The p value is 0.073. Level of significance (α) = 0.01

Q: For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date…

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Q: (1) Let X = b(16,) find E(4-3x) and distribution function.

A: From the provided information, X~b (16, 1/4) Sample size (n) = 16 Probability (p) = 1/4

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Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

A: Given,   The regression equation is,     The objective is to find the best predicted value of y^…

Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

A: Given: Equation of linear regression is

Q: (1) Let X b(16, find E(4-3x) and distribution function.

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Q: Exercise 6.12 Let X1,..., Xn be a random sample from Uniform(0, 20). Find the asymptotic…

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Q: (iv) Find the Fisher information in this sample of size n about the parameter 8.

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Q: (b) Show that log r. 02 (c) Show that the Fisher information based on a single observation for 0 is…

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Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

A: Introduction: The estimated least squares regression equation to predict the attractiveness rating…

Q: For each of the following Poisson rates, find P xS E(x) + k for k 0, 1, and 2. a. A = 120 arrivals…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…

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Q: For 50 randomly selected speed​ dates, attractiveness ratings by males of their female date…

A: The given regression equation is, Here, Slope = 8.24 Intercept = 0.338

Q: (1) Let X = b(16, find E(4-3x) and distribution function.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: Use the information given in the table below to find a 95% Prediction Interval for y when x = 1 In =…

A: Answer:-  Option A is correct answer.