**Transcription for Educational Website**A Washington DC commuter must take two Metro trains to get to work. This involves a wait time \( T_1 \) for the first train and a wait time \( T_2 \) for the second train. The total wait time (in minutes) \( T = T_1 + T_2 \) has a probability density function (pdf) given by\[ f(t) = \begin{cases} \frac{1}{16} t & 0 \leq t < 4 \\\frac{1}{2} - \frac{1}{16} t & 4 \leq t \leq 8 \\0 & t < 0 \text{ and } t > 8 \end{cases} \]Tasks:a) Compute the cumulative distribution function (CDF).b) Compute the 75th percentile.c) Compute \( E(t) \).d) Compute \( E(t^2) \).e) What is the probability that the total wait time is within 1 standard deviation of the mean?

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Answered: XA Washington DC commuter must take two…

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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Determine whether -log (1- 9(1-) is a good cost function for logistic regression 1+e07 when y = 0. Explain.
Find each model WITHOUT a Calculator (without regression) BY HAND. Then, use a calculator to evaluate a and b to in decimal format when submitting the answer. Hint: Check that your answer matches the answer if done with regression on the calculator. Find a linear function y-ax+b that passes through the points (3, 3) and (6, 8) Y = Y = I – 2 Find an exponential function y-ab^x that passes through the points (3, 3) and (6, 8) O y = Find a power function y-ax^b that passes through the points (3, 3) and (6, 8)
A model is built to explain the evolution of spending on tourism and recreation in a certain group of families (Y in USD/person/year). As potential explanatory variables are considered: X1 average annual income per person in the family (in USD), X2 – number of people in the family, X3 – nature of employment of the head of household If X3=1, when the head of the family is self-employed, X3=0, when the head of the family is an employee Based on the collected data, linear correlation coefficients between variables were calculated and obtained 0,84 R, = -0,47 [1 -0,55 0, 62 R= 1 -0,42 0,75 1 Using Hellwig's method, select the optimal combination of explanatory variables for the tourism and recreation expenditure model.
If the arrival and departure rates in an M/M/1 queue are 1/2 per minute and 2/3 per minute respectively, find the average waiting time of a customer in the queue.
Please solve 12.7 and dont use any programme like minitab.
According to recent data the survival function for life after 63 is approximately given by S(x) = 1-0.052x-0.078x² where x is measured in decades. This function gives the probability that an individual who reaches the age of 63 will live at least x decades (10x years), longer. a. Find the median length of life for people who reach 63, that is, the age for which the survival rate is 0.50. ye years (Round to the nearest whole number as needed.)
Pison/&user=tmorrison7&key%3DrotNBBCzVIsGRqZV8t.. Previous Problem Problem List Next Problem (1 point) Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy. Subject 1 3 4 7 8 9 10 11 12 13 14 15 16 Empathy Score 41 48 39 56 64 63 59 53 Brain Activity -0.127 0.3910.02 0.378 0.015 0.404 0.11 0.513 0.149 0.736 0.254 0.573 0.217 0.72 0.355 0.786 47 52 64 73 12 68 28 120 1.2 sub ject Z F20 10,0 120 -8.4 Given that the equation for the regression line is y = 0.00619x +0.00032, what is…

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