Suppose your expectations regarding the stock market are as follows:State of the EconomyBoomNormal growthRecessionProbability0.30.50.2MeanStandard deviationHPRE (r) = Σ₁_₁ p (s)r (s)Var (r) = o² = Σ₁-1 p (s)[r(s) - E (r)]²SD (r) = o = √/Var (r)Required:Use above equations to compute the mean and standard deviation of the HPR on stockRound your answers to 2 decimal places.)%%36%18-12

Solution-:Given table:State of the EconomyProbability HPRBoom0.336%Normal…

Answered: Suppose your expectations regarding the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Vanessa has a utility function for income given by U(I) = VI %3D (that is the square root of income). Because of the nature of her utility function, we know that Vanessa is risk averse. Vanessa is considering an investment that would give her an income of $10,000 with a probability of 0.5 or an income of $15,000 with a probability of 0.5. The expected utility of this investment is (rounded to 2 decimal places): O A. 111.24 O B. 113.48. O C. 118.35. O D. 125.00.
1. You have the following PDF: f(x) = { 1≤x≤e. (a) Find the value of c such that this is a valid PDF. (b) Calculate E(X). (c) Calculate V(X). (d) Calculate F(x).
2. Determine whether each of the following distributions are exponential family. For those that are, find a set of complete, minimum sufficient statistics. For those that are not, find a sufficient statistic. (a) Location Exponential: f(x) = e-(-0), x > 0. (b) f(x) = 0(1+x)(1+0), x > 0 (c) logN(u,02): f(x) = 1 a exp{-(log x-μ)²), x > 0. αν2πσ2 },
1. Fix r € N, and suppose that Y₁,..., Yn are independent and identically distributed NegBin(r, ) random variables, each with probability mass function given by ¡v (u | 0) – (1 + r − ¹) (1 - fy y (1 - 0) ³0⁰ for y ¤ N and unknown 0 € (0, 1). Here the number of successes r in the negative binomial is known.
If X has the exponential distribution given by: f(x) = 4*(1 - x/2); 1 ≤ x ≤ 2. Find E(x).
Directions: Suppose that the average life span of an electronic component is 72 months and that the life spans are exponentially distributed. 1. Find the probability that a component lasts for more than 12 months. Probability= 0.846482 2. The reliability function r(t) gives the probability that a component will last for more than ₺ months. Compute r(t) in this case. r(t) = e 12

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