For questions 1-2, consider the following scenario:Alice wants to choose constants C and D such that the functionPc.D (x) = De-x+e(1 – Ce-Cx)|is a probability density function. (Note: the vertical bars designate an absolute value.) Question 2Suppose Alice needs to choose the constants C and D such that the resulting probability distribution has the largest possible median. What value of C should shechoose?

Given is the Probability density function P(x) = De-(x+e-Cx)(1-Ce-Cx) Considering the x values to…

Answered: For questions 1-2, consider 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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Question 2: Suppose we have a random sample X₁, X2,..., X, from the following probability density function: f(x;0) 1 - e 20 -1/(20), x>0, 0>0 Derive the maximum likelihood estimator of 0. Be sure to check the second derivative.
Please solve P1
For the M/M/N/o system, the probability that an arrival will find all servers busy and will be forced to wait in queue is an important measure of performance of the M/M/N/∞ system. This probability is given by PQ N!(1 – p/N) | and is known as the Erlang C formula. Please derive the equation. What is the expected number of customers waiting in the queue (not in service)?
[2] X is an exponential random variable with variance 9. If (X, Y = (2, otherwise, 1
Rework problem 16 in section 4.2 of your text, involving drawing markers from a box of markers with ink and markers without ink. Assume that the box contains 12 markers: 9 that contain ink and 3 that do not contain ink. A sample of 6 markers is selected and a random variable Y is defined as the number of markers selected which do not have ink. Find the probability density function. Be certain to list the values of Y in ascending order.
Question 3: exponential distribution wich rate A. Find the probability density function of T = X +Y. Let X and Y be identical and independently distributed as
Question 2: A risk averse agent, whose utility is given by u(a) = In(x) and his wealth is 50, 000 is faced with a potential loss of 10,000 with a probability of p = 0.1. What is the maximum premium he would be willing to pay to protect himself against this loss?
Question 2.1 The joint probability function of X and Y is given by f(x, y) = (1/20) * (x + 3y)for 1 < x < 3 and 0 < y < 2. Find; a. P (0 < x < 2)
solve question 5 a,b,c and d
can you please solve this?
Rework problem 7 from section 4.3 of your text, involving filling in the missing entires in a probability density function. Use the following density function instead of the one in your text. Value of X Probability Product -3 (A) -0.6 -1 (B) -0.3 (C) 0.2 0.1 2 0.3 (D) (1) What is the value of (A)? (2) What is the value of (B)? (3) What is the value of (C)? (4) What is the value of (D)?

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For questions 1-2, consider the following scenario: Alice wants to choose constants C and D such that the function PC,D (x) = D|e-(x+e- (1 - Ce-cx)| is a probability density function. (Note: the vertical bars designate an absolute value.)