QUESTION 5 The time till failure of a part, T years, has the probability density function below and is zero elsewhere, where k is a constant. f) = kr4 (t > 1) i. Sketch a graph of the failure rate against time. i. What does the shape of this graph tell you?
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- The time till failure of a part, T years, has the probability density function below and is zero elsewhere, where k is a constant.i. Sketch a graph of the failure rate against time.ii. What does the shape of this graph tell you?The world monarch in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one female or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which time they immediately stop? (Presume that all pregnancies have an equal chance of producing a male or a girl.) Write a computer simulation of this problem after you have rationally resolved it.Question 4: The ongoing Covid pandemic in the word has scared the authorities at Hazrat Shahjalal International Airport in Dhaka and they have asked the CSE department of BRACU to design a system that would help them to decide what to do with people coming in from African countries that are at risk. The Airport authorities has approved the following specifications for the system: Input (4 variables) F = 1 indicates the passenger HAS FEVER. H = 0 indicates the passenger DOES NOT HAVE a SEVERE HEADACHE. M = 1 indicates the passenger HAS MUSCLE PAIN. A = 0 indicates the passenger DOES NOT HAVE ABDONIMAL (STOMACH) PAIN. Output (3 variables)
- The world queen in the new post-apocalyptic world is extremely worried about the birth rate. She therefore orders that every family must have at least one daughter or else pay hefty fines. What will the gender ratio of the next generation be if all families adhere to this policy, which requires them to keep having children until they have one girl, at which point they immediately stop? (Presume that all pregnancies have an equal chance of producing a boy or a girl.) Write a computer simulation of this problem when you have logically resolved it.A group of n tourists must cross a wide and deep river with no bridge in sight. They notice two 13-year-old boys playing in a rowboat by the shore. The boat is so tiny, however, that it can only hold two boys or one tourist. How can the tourists get across the river and leave the boys in joint possession of the boat? How many times need the boat pass from shore to shore?On the Christmas eve, Santa Claus will start working to deliver gifts to the lovely kids. Different from previous years that he secretly delivered the gifts, this year, he indeed wants to openly deliver the gifts to the kids and wish them a merry Christmas when delivering the gifts. However, the kids each have very different sleep schedules. Kid i is awake only in a single closed time interval [ai, bi]. Santa doesn’t want to disturb the sleeping kids, so each time he will find an awake kid, give the gift to the kid, wish the kid a merry Christmas, and talk with the kid until he/she falls asleep. However, Santa does want to meet and talk with as many kids as possible. Design a greedy algorithm which takes as input the number of kids n, and the n lists of intervals [ai, bi], and outputs the maximum number of kids m that Santa can talk to. You are expected to write the pseudocode of your algorithm.
- Information on morphine: Morphine can be administered via injection / IV. The quantity of morphine in a given dose may vary, but one guideline is to use 0.1 mg of morphine for each kg of the patient's body mass. The time taken for half the quantity of morphine to be removed from the body is 2 hours. An exponential function can be used to model the amount of morphine in the body over time: ?=?0???A=A0ekt (note that ?k will be negative). Calculate the value of ?k for morphine. Write a Python function called MorphineModel, which takes two arguments: dose amount ?0A0 and time since last dose ?t, and returns the amount of morphine in the body at this time ?t. Add to your computer code so that you have a program which is an implementation of the following flowchart. Ensure that your code is well-communicated to a user of the program (via the print statements) and well-communicated to someone reading the code (via comments).To reduce traffic congestion in downtown Winburg, Indiana, the mayor convinces the city toset up a public transportation system. Bus-only lanes are to be established, and commuterswill be encouraged to “park and ride”; that is, to park their cars in suburban parking lots andthen take buses from there to work and back at cost of one dollar per ride. Each bus is tohave a fare machine that accepts only one dollar bills. Passengers insert a bill into the slotsas they enter the bus. Sensors inside the fare machine scan the bill, and the software in themachine uses an image recognition algorithm to decide whether the passenger has indeedinserted a valid dollar bill into the slot. It is important that the fare machine be accuratebecause, once the news gets out that any piece of paper will do the trick, fare income willplummet to effectively zero. Conversely, if the machine regularly rejects valid dollar bills,passengers will be reluctant to use the buses. In addition, the fare machine must be…Suppose a business person launches new cinema at Islamabad and ask his team to develop a ticket system for box office. He assigns some requirements about system that how should it work. The requirements are such a way that there are only '5' number of box office windows in the theatre. Each window can have at max '20' number of people waiting in line. To start with, only one window is opened. If the number of people waiting in line in that window exceeds 20, then the next window is opened and people can join the line in that window. Likewise, if both the first and second windows have n number of people waiting in each queue, then a third window is opened. This can go on until the maximum number of windows w is reached. Let us assume that once a window is opened it never closes. A new window is only opened if all open windows are full. Each person can buy only one ticket. So, the system should not allot more than one ticket per person. Let us assume that the system issues one ticket…
- More and more seafood is being farm-raised these days. A model (differentialequation) used for the rate of change for a fish population, P(t) in farmingponds is given by P'(t) = b(1-(P(t)/Pm)) - hP(t) where b is the birth rate, PM is the maximum number of fish the pond cansupport, and h is the rate the fish are harvested. Write a python code that implements the Forward Euler method to solve thedifferential equation Suppose that the carrying capacity PM = 20, 000 fish with a birth rateof 6% and a harvesting rate of h = 0%, use your Python code to findand plot the numerical solution for the first 400 days for different valuesof y0. Pick y0 < 20, 000, y0 > 20, 000. Don’t forget to label all your plotswith x and y axes label, titles and legends. Use a time step ∆t = 0.1In Simulated Annealing, if the current state’s evaluation function value is 15, the selected successor state’s value is 11, and the current temperature is T = 10, what is the probability of moving to the successor state? (Assume we are maximizing the evaluation function.) Please give your answer as either an expression or a number.Wo Home I(O noPHP) I Homework 10 Q2 Q1 Q3 L Q4 Q5 Q6 (a) Q7 Q8 Q9 Q10 (x = L, y = 0) |(x = 0, y = 0) (b) A beam is subjected to a linearly increasing distributed load. The elastic curve (deflection) is shown in the figure. The equation to find the maximum deflection is given below. Create a matlab code where you can calculate the maximum deflection (dy/dx=0) using the bisection method. Use initial guesses of 1 and 5, L= 6.27 m, E = 73000 kN/cm2, I=38000 cm4, and w0= 2.5 kN/cm. What will be the value of x (location of maximum deflection) after 15 bisection iteration? wo -(-æ³ +2L²x³ – L^x) 120EIL dy de wo (-5xª + 6L²x² – Lª) 120EIL Choices 2.5236 1.402 2.804 4.206 Submit I Attempts 1 |