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4.7.7 For 80% of lectures, Professor X ar- rives on time and starts lecturing with delay...
1. A college professor never finishes his lectures before the end of the hour but always...
1. A college professor never finishes his lectures before the end of the hour but always finishes his lectures within 5 minutes after the hour. Let X = the amount of over-time the professor lectures for, with pdf (probability density function) kx2 0 < x < 5 otherwise a. Find the value of k and draw the corresponding density curve between 0 and 5. (Remember that the total area under the graph of f(x) is 1.) b. Which of the...
A cheetah starts at x = 0 and a gazelle starts at x = 0.5 km....
A cheetah starts at x = 0 and a gazelle starts at x = 0.5 km. The cheetah starts running straight towards the gazelle at steady speed 80 km/hr (he’s tired) and, at the same instant, the gazelle runs straight away from the cheetah at steady speed 60 km/hr. Draw a reasonable graph with the position x vertically and the time t horizontally, including vertical and horizontal tic marks (you can use km and hr as the units if you...
Consider a random process where rectangular pulses of width 1 are separated in time by intervals...
Consider a random process where rectangular pulses of width 1 are separated in time by intervals of T seconds The amplitude of each pulse is determined independently and with equal probability to be either 1 0, or -1.Pulses begin at periodic time instants to t nT where to is a random variable that is uniformly distributed over the range O to T. Asample function is shown below. to -T to+ T to +37 to to + 27 to + 4T...
nice handwriting please. Question 2 (30 Points) Consider a random process where rectangular pulses of width...
nice handwriting please.
Question 2 (30 Points) Consider a random process where rectangular pulses of width T, are separated in time by intervals of T seconds. The amplitude of each pulse is determined independently and with equal probability to be either 1, 0, or -1. Pulses begin at periodic time instants to tnt where to is a random variable that is uniformly distributed over the range 0 to T. A sample function is shown below. X(t). T; to-T to +...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter À-1/6. If it does not rain (under the event F), T is exponentially distributed with the parameter λ 1/2 The percentage of raining time is 0.3 (a) Find the PDF of Tand the expected value ET]. (b) Find the PDF of T given that B [T 6] 2. Random variables X and Yhave the joint PDF otherwise (a)...
In response to comment 'na' what exactly are you saying? Question 4 [16 marks] X Y...
In response to comment 'na' what exactly are you saying?
Question 4 [16 marks] X Y (a) The random vector has probability density function fx.y (x, y)exp {-22 - 2xy - 3y*}, where k is some constant. (i) Find k N (0, 3/2) and Y ~ N (0,1/2) 11 Show that X Find cov (X, Y) and corr (X, Y) 111 (iv) Find E (Y|X) (b) The random variables U and V are distributed with mean 1/A, while V is...
A particle starts from rest at x = -1.8 m and moves along the x-axis with...
A particle starts from rest at x = -1.8 m and moves
along the x-axis with the velocity history shown. Plot the
corresponding acceleration and the displacement histories for the
2.0 seconds. Find the time t when the particle crosses the
origin. After you have the plots, answer the questions.
Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
1. The time to failure X of a component is uniformly distributed on [0, al. Show...
1. The time to failure X of a component is uniformly distributed on [0, al. Show that the MGF of X, My(t) = E[etX], is My(t) = 607?. Use this to find E[X] and Var(X).
modify the code for timer_test_02.c to allow the time delay between events to be pseudo- random...
modify the code for timer_test_02.c to allow the time delay between events to be pseudo- random exponential, with a mean time between arrivals of 0.1 second. Change the limit in the time_stamps() function from 5 time-stamps to 10, so that the mean run-time will be about 10*0.1 = 1.0 seconds. Once this is working, you should be able to generate 10 events with a pseudo-random exponential arrival process. The code is: #include <stdio.h> #include <stdint.h> #include <time.h> #include <unistd.h> #include...
1. A college professor never finishes his lectures before the end of the hour but always finishes his lectures within 5 minutes after the hour. Let X = the amount of over-time the professor lectures for, with pdf (probability density function) kx2 0 < x < 5 otherwise a. Find the value of k and draw the corresponding density curve between 0 and 5. (Remember that the total area under the graph of f(x) is 1.) b. Which of the...
Consider a random process where rectangular pulses of width 1 are separated in time by intervals of T seconds The amplitude of each pulse is determined independently and with equal probability to be either 1 0, or -1.Pulses begin at periodic time instants to t nT where to is a random variable that is uniformly distributed over the range O to T. Asample function is shown below. to -T to+ T to +37 to to + 27 to + 4T...
nice handwriting please.
Question 2 (30 Points) Consider a random process where rectangular pulses of width T, are separated in time by intervals of T seconds. The amplitude of each pulse is determined independently and with equal probability to be either 1, 0, or -1. Pulses begin at periodic time instants to tnt where to is a random variable that is uniformly distributed over the range 0 to T. A sample function is shown below. X(t). T; to-T to +...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter À-1/6. If it does not rain (under the event F), T is exponentially distributed with the parameter λ 1/2 The percentage of raining time is 0.3 (a) Find the PDF of Tand the expected value ET]. (b) Find the PDF of T given that B [T 6] 2. Random variables X and Yhave the joint PDF otherwise (a)...
In response to comment 'na' what exactly are you saying?
Question 4 [16 marks] X Y (a) The random vector has probability density function fx.y (x, y)exp {-22 - 2xy - 3y*}, where k is some constant. (i) Find k N (0, 3/2) and Y ~ N (0,1/2) 11 Show that X Find cov (X, Y) and corr (X, Y) 111 (iv) Find E (Y|X) (b) The random variables U and V are distributed with mean 1/A, while V is...
A particle starts from rest at x = -1.8 m and moves
along the x-axis with the velocity history shown. Plot the
corresponding acceleration and the displacement histories for the
2.0 seconds. Find the time t when the particle crosses the
origin. After you have the plots, answer the questions.
Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and...
1. The time to failure X of a component is uniformly distributed on [0, al. Show that the MGF of X, My(t) = E[etX], is My(t) = 607?. Use this to find E[X] and Var(X).
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