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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- 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).Do it in python One chose to visit his relatives. There are s animals and n animal pens on the him. For utility reason, creature pens are built in one line. Uncle let Theofanis know that a ranch is fortunate on the off chance that you can disseminate all animals in all pens so that there are no unfilled pens and there is something like one ceaseless section of pens that has precisely k animals altogether. In addition, a ranch is great in case it's fortunate for any conveyance without void pens. Neither Theofanis nor his uncle knows whether their ranch is great or not. Would you be able to take care of them to figure it? information :The primary line contains a solitary integer t (1≤t≤105) — the quantity of experiments. The sole line of each experiment contains three integers s, n, and k (1≤s,n,k≤1018; n≤s). Output: For each experiment, print YES (case-unfeeling), if the homestead is great, or NO (case-heartless) in any caseThis is for a Java Progrsm problem but If you could fully explain it to me then I should be okay to try to create this program based off your explaination. Thank you! Trigonometry is needed A pipe is to be carried around a right-angled corner of two intersecting corridors. Suppose that the widths of the two intersecting corridors are 5 feet and 8 feet. Your objective is to find the length of the lingest pipe, rounded to the nearest foot, that can be carried level around the right-angled corner. What I have to do is the following: Write a program that prompts the user to input the widths of both the hallways/ The program then outputs the length of the longest pipe, rounded to the nearest foot, that can be carried level around the right-angled cprner. Note that the length of the pipe os goven by l = AB + BC = 8 /SIN 0 (Omega) + 5 / cos 0(Omega), where 0 < > Omega < pi/ 2
- What Python code will solve the following: The goal of this section is to estimate the probabilities Pij (transition probabilities) associated with finding food from any location (i, j) inside the maze. A rat will be considered successful in finding food if the probability of finding food from a given location exceeds 0.5. 1. Use Equation (1) to write down equations for each probability Pij for i = 1, 2, · · · , 6, j = 1, 2, 3, · · · , 5. Equation 1 is : Pij = 1/4Pi-1j + 1/4 Pi+1j +1/4 Pij-1 + 1/4Pij+1 2. Notice that your equations constitutes a system of linear equations with 30 equations and 30 unknowns, with the unknowns as the transition probabilities. Identify the coefficient matrix for the system of equations and write your system in the form Ap = b, where b is some constant vector and p the vector of transition probabilities, ordered from the upper left hand corner of the maze to the lower right hand corner. The goal is to solve the system for p. 2 3. How would you characterize…Implement an algorithmic solution, indicating which states are valid and which are not, and model the space of the following problem: An interest group from a small town decided to sue a company for commercial abuse. For this, the people have organized themselves and decided to send 3 representatives, who will have to travel in a Van to the city where the lawsuit will be filed. The company to be sued, upon learning of these actions, has decided to send 3 lawyers to persuade the representatives, who will also travel in the same Van for that purpose. The community must file the class action suit under these conditions: - The three applicants must reach the destination city; - Only two people can travel per trip in the Van (small town - city, city - small town); - There can never be more lawyers than plaintiffs in any one place (either in the small town or city) because the lawyers can persuade the plaintiffs and as a consequence, the lawsuit would not be made; - The Van cannot be…Let l be a line in the x-y plane. If l is a vertical line, its equation is x 5a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y 5mx 1b, where b is the y-intercept. If l passes through the point (x0, y0,), the equation of l can be written as y 2y0 5m(x 2x0 ). If (x1, y1) and (x2, y2) are two points in the x-y plane and x1 ≠ x2, the slope of line passing through these points is m 5(y2 2y1 )/(x2 2x1 ). Write a program that prompts the user two points in the x-y plane. The program outputs the equation of the line and uses if statements to determine and output whether the line is vertical, horizontal, increasing, or decreasing. If l is a non-vertical line, output its equation in the form y 5mx 1b.
- Show that the following function is Turing-computable. f(x)=x+1 . I want the drawingLet l be a line in the x-yplane. If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y = mx + b, where b is the y-intercept. If l passes through the point (x₀, y₀), the equation of l can be written as y - y₀ = m(x - x₀). If (x₁, y₁) and (x₂, y₂) are two points in the x-y plane and x₁ ≠ x₂, the slope of line passing through these points is m = (y₂ - y₁)/(x₂ - x₁). Instructions Write a program that prompts the user for two points in the x-y plane. Input should be entered in the following order: Input x₁ Input y₁ Input x₂Create an Algorithm for Synchronised Simulation of a Number. in: a group of human participants H; a group of computer users C out: winner w constant: nmin = minimum number; nmax = maximum numberpredicted number g locally
- 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 = 0.1Problem 1: The Mysterious FunctionWe have come through an old interesting function whose pseudo-code was defined asfollows:Algorithm 1 Mysterious-Function(n)Require: n ∈ Z ∧ n ≤ 222if n ≥ 222 thenreturn n − 14elsereturn Mysterious-Function(Mysterious-Function(n + 15))end ifa) Implement the algorithm in Pythonb) Try various inputs, within the valid range n ≤ 222, what have you noticed of theoutput?c) Prove your thoughts, hypothesis, in part (b)[Hint: use your implementation to prove a property of the output at a particularinput along with inductive scheme]d) Empirically, show the performance curve of the algorithm using time measurementsconsider a jewler who shows a collection of diamonds to a person. all diamonds have different integer ounce weights and are laid out in a single row on the table. what is the largest weight amount of diamonds that the person can take, provided that the person cannot select adjacent diamonds? use standard pseudocode notation similar to python to write a dynamic programming bottom up algorithm that solves this problem for any n number of diamonds.