Question - Make a Python Program That Solves the Following Probability Problem (Using Poisson Distribution). Suppose it has been observed that, on average, 180 cars per hour pass a specified point on a particular road in the morning rush hour. Due to impending roadworks, it is estimated that congestion will occur closer to the city center if more than 15 cars pass the point in any one minute. What is the probability of congestion occurring? ** Use Poisson Distribution **
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- 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…Imagine that you are facing an infinitely long wall, and you need to reach the only door in the wall. You may walk along the wall to your left or to your right, and at any time you may turn and walk in the opposite direction. You are in fog, so you only know where the door is when you are right in front of it. Assume that the door is an (unknown, but finite) integer number of steps away. As a function of the (possibly unknown) distance to the door, give an algorithm and cost for the minimum number of steps (in the worst case) that you must walk to reach the door in the following situations. For each situation, you should describe the (best) procedure that you could follow and analyze its worst-case cost: (a) You know the door is to your left. (b) You don’t know where the door is, but you know that it is exactly n steps away. (c) You don’t know where the door is, but you know that it is at most n steps away
- Write a python program by following rules: Has ? discrete time intervals where ? is large. Generates a set of customer call arrivals with the arrival rate of ? at random locations in the ? intervals (e.g., for each interval, a call will happen with probability ?/?). Counts the number of calls that actually occurs during these ? intervals. Design your experiment to determine the Poisson distribution of this experiment (probability of having k arrivals in n intervals).In practical life, the employees get salaries and pay taxes honestly. Sometimes, the process of drawing salariesand payment of taxes may lead to some interesting situation. Suppose, a person draws salary of Rs. 10,000 permonth. A certain percentage of tax is charged on that amount, which is deducted every month. But if the salaryof the person is more than Rs. 10,000 per month, then the tax rate is different. Similarly if a person is getting Rs.20,000 per month, he/she would be charged more under a different tax rate slab. The interesting situationdevelops if there is an anomaly in the tax rates i.e. a person who is getting higher salary takes home lesser moneyas compared to the other person with less gross salary.To further elaborate it, we suppose that there is company 'C' where 100 or less than 100persons are employed. The salaries of the employees and their tax rates are known to us.We are required to list those unlucky persons, who are getting lesser take-home salary(net salary)…Imagine there are N teams competing in a tournament, and that each team plays each of the other teams once. If a tournament were to take place, it should be demonstrated (using an example) that every team would lose to at least one other team in the tournament.
- vvvHarry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output.Input: 4 2 2Output4Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according…Given a function f_prime(), which represents the derivative of some loss function, learning rate Ir = 0.01, and maximum number of iterations max_iter = 1000, write the for loop that represents gradient descent updates to variable w. Assume that initial w has been initialized and that an implementation of f_prime() has been defined somewhere else. Write your code in python.a) Explain on Simulated Annealing algorithm behaves at very high temperatures, and how it behaves at very low temperatures. (b) Imagine the implementation of Simulated Annealing algorithm in real life. Let's say, you have a caretaker at your home. Your home has a garden and it has a fountain with a network of pipes that contains 150 faucets. You informed your caretaker that you are going for short holiday to Langkawi for 3 days and when you return you would like the fountain to spray as high as possible. Your caretaker knows that it is impossible to check all faucets within 3 days to obtain an optimal setting. You can use Simulated Annealing algorithm to maximize the height of the fountain, also can assume whether a faucet can be ON or OFF and measuring the water height. Adding to that, you can make any other assumptions required for this scenario, explain clearly using Simulated Annealing algorithm.
- C program of A 20 ft. ladder is placed against a wall that the foot of the ladder is 4 ft. from the base of the wall and in the same horizontal plane. Find what is the height does the ladder reached?most computer languages include a function that can be used to generate random numbers. in excel, the rand function can be used to generate random numbers between and . if we let denote a random number generated using rand, then is a continuous random variable with the following probability density function. a. select the probability density function. 1. 2. 3. 4. choose the correct graph from above: - select your answer - b. what is the probability of generating a random number between and (to 1 decimal place)? c. what is the probability of generating a random number with a value less than or equal to (to 1 decimal place)? d. what is the probability of generating a random number with a value greater than (to 1 decimal place)? e. using random numbers given below, compute the mean and standard deviation. 0.931806 0.398110 0.216843 0.826248 0.323101 0.235342 0.105300 0.203744 0.973537 0.181343 0.848380 0.602418 0.013789 0.495464 0.365786 0.027959 0.782500 0.232680 0.913043 0.689042…You are a computer research scientist at Tesla, and your task is to create a computer vision application for self-driving cars to detect object and avoid collision. You know that Graham's scan is a method of computing the convex hull of a finite set of points in the plane. You decide to apply this algorithm to achieve the goal of your task. a) Suppose Graham's scan executes n points, where n >= 3. Prove that, at the end of the program, the stack S consists of, from bottom to top, exactly the vertices of convex hull in counter-clockwise order.