Write a Python function to run a Parking Lot (PL) simulation, called PLSimulation, which takes four integers as parameters: • The first parameter (minArriving) is the minimum number of cars that can park in the PL during one hour. • The second parameter (maxArriving) is the maximum that can park during one hour. • The third parameter (maxLeaving) is the maximum number of cars that may leave the PL during one hour. • The fourth parameter (hours) is the number of hours to run the simulation. Your function should simulate parking and leaving cars for the specified number of hours. In each hour, the following occurs in this order: 1. A random number of cars arrive, ready to park (between the minimum and maximum). That number is added to a count of the number waiting to park. 2. The maximum number of cars that may leave, allowing the same number of cars to park, so that number is subtracted from the count of the number waiting to park (if there are that many waiting to park). Initially, the number of cars waiting to park is 0. To generate a random number of cars each hour, use the randrange function, which takes two integer parameters, and which must be imported from the random module. After the simulation is over, write a report giving the car arrival rate (between the minimum and maximum), the car departure rate, and the number of cars waiting to park after the simulation has run for the specified number of hours (hours).

In Python, write a function that produces plots of statistical power versus sample size for simple linear regression. The function should be of the form LinRegPower(N,B,A,sd,nrep), where N is a vector/list of sample sizes, B is the true slope, A is the true intercept, sd is the true standard deviation of the residuals, and nrep is the number of simulation replicates. The function should conduct simulations and then produce a plot of statistical power versus the sample sizes in N for the hypothesis test of whether the slope is different than zero. B and A can be vectors/lists of equal length. In this case, the plot should have separate lines for each pair of A and B values (A[1] with B[1], A[2] with B[2], etc). The function should produce an informative error message if A and B are not the same length. It should also give an informative error message if N only has a single value. Demonstrate your function with some sample plots. Find some cases where power varies from close to zero to…

Your first task will be to write a simple movement simulator on a snakes and ladders board. For this questionyou can ignore the snakes and ladders and just simply assume you only have to deal with moving. You willneed to simulate rolling the die - this can be done by using the Python random module and the randint method.Your function play_game will take as input the length of the board (an integer), "play" the game by rolling the diemultiple times until the sum of rolls is larger or equal to the length of the board. (note: this is one of the possibleand simplest end rules). The function should return the total number of rolls required to finish the the particulargame that was played. Obviously this number will vary as it depends on the specific random rolls performedduring the movement simulation.

In Python, Create a CourseGrades application that simulates a grade book for a class with 12 students that each have 5 test scores. The CourseGrades application should use a GradeBook class that has member variablesgrades, which is a two-dimensional list or integers, and a function getGrades() for prompting the user for the test grades for each student, showGrades() that displays the grades for the class, studentAvg()that has a student number parameter and then returns the average grade for that student, and testAvg() that has a test number parameter and then returns the average grade for that test.