Question: A robot is given 1 random instruction every second for 10 seconds. Each instruction will...

Question: A robot is given 1 random instruction every second for 10 seconds. Each

instruction will be either a command to move 1 inch to the left, or 1 inch

to the right. The likelihoods of the instruction being a command to move

to the left and right are 'p' and '1-p', respectively.

Find:

a) What is the expectation of the robot's final position with respect

to its starting position.

b) What is the variance we might expect for observations of the

robot's final position?

c) For what value(s) of 'p' is this variance greatest?

d) For what value(s) of 'p' is the expectation of net distance traveled greatest?

e) For what value(s) of 'p' is the total number of inches moved greatest?

Expert Solution

orchestra answered 2 years ago

I'm generating a random number every 10 second; In arraylist I'm Storing and Updating the number...

I'm generating a random number every 10 second; In arraylist I'm Storing and Updating the number every 10 second when I generate new number. However, my goal to call the update number from arraylist in another class main method. I would apperciate any help. //this is the class I'm generating a random number every 10 second and Storing and Updating the number in arraylist. package com.singltondesignpattern; import java.util.ArrayList; import java.util.Random; import java.util.concurrent.Executors; import java.util.concurrent.ScheduledExecutorService; import java.util.concurrent.TimeUnit; public class EverySecond {...

1. A random sample of 64 second graders in a certain school district are given a...

1. A random sample of 64 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.58. Assume the standard deviation for the population of test scores is 15. The nationwide average score on this test us 50. The school superintendent wants to know whether the second graders in her school district have greater math skills than the nationwide average. Perform the hypothesis test and compute the P value. Based on...

1) A random sample of 64 second- graders in a certain school district are given a...

1) A random sample of 64 second- graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.60. Assume the standard deviation for the population of test scores is 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Perform the hypothesis test and compute the p -value. Write down your...

Given the following times (in seconds) to process hot-rolled steel are observed for a random sample...

Given the following times (in seconds) to process hot-rolled steel are observed for a random sample of size 12 as follows: 1 2 3 4 5 6 7 8 9 10 11 12 5.4 6.2 7.9 4.8 7.5 6.2 5.5 4.5 7.2 6.2 5.3 6.8 a/ Explain the difference between accuracy and precision of measurements. b/ Explain the differences between the mean, median, and mode of the processing times. c/ Compute the range, variance, and standard deviation of the processing...

Assume that for a given program 70% of the executed instruction are arithmetic, 10% are load/store,...

Assume that for a given program 70% of the executed instruction are arithmetic, 10% are load/store, and 20% are branch. i. Given the instruction mix and the assumption that an arithmetic instruction requires 2 cycles, a load/store instruction takes 6 cycles, and a branch instruction takes 3 cycles, ?nd the average CPI. ii. For a 25% improvement in performance, how many cycles, on average, may an arithmetic instruction take if load/store and branch instructions are not improved at all.

1. Every two seconds someone in America needs blood. It is important that hospitals have the...

1. Every two seconds someone in America needs blood. It is important that hospitals have the right types of quality blood to meet the patient needs. Blood donation centers help hospitals meet this demand. There are four main blood groups: A, B, AB, and O, of which O is the most common. One of the less common blood types is B+. In the United States, only 9% of the population has B+ blood type. Assume that 5 donors arrive to...

Question 1. For each random variable, state whether the random variable should be modeled with a...

Question 1. For each random variable, state whether the random variable should be modeled with a Binomial distribution or a Poisson distribution. Explain your reasoning. State the parameter values that describe the distribution and give the probability mass function. Random Variable 1. A quality measurement for cabinet manufacturers is whether a drawer slides open and shut easily. Historically, 2% of drawers fail the easy slide test. A manufacturer samples 10 drawers from a batch. Assuming the chance of failure is...

Consider a one-dimensional random walker (using numpy) that can move every second. With probability pl =...

Consider a one-dimensional random walker (using numpy) that can move every second. With probability pl = 1/3 it moves to the left, with probability pr = 1/3 it moves to right, and with probability pr = 1/3 it rests and does not move. Assuming at time t = 0, the random walker is at x = 0, plot (using matplotlib) the probability density function and the cumulative probability function for t = 10, t = 100, and t = 1000...

PLEASE ANSWER ALL QUESTIONS. ALL THE QUESTION ARE RELATED IN EVERY NUMBER 1. "For each of...

PLEASE ANSWER ALL QUESTIONS. ALL THE QUESTION ARE RELATED IN EVERY NUMBER 1. "For each of the following questions, use a dry bulb temperature of +26°C and a wet bulb temperature of +15°C, in a room with 70 kg of dry air. The atmospheric pressure is 101,325 Pa. What is the relative humidity of this air? Enter your answer as a number from 0 to 100 without any units or percent sign. Your answer is correct if it is within...

Question: include the MATLAB output and commands used with each problem Generate two random 10 ×...

Question: include the MATLAB output and commands used with each problem Generate two random 10 × 10 matrices with numbers between -10 and 10. This can be done with >> A = randi([-10,10],10,10) >> B = randi([-10,10],10,10) 1. with MATLAB to determi whether A and B are invertible matrices . 2. If A is invertible, use MATLAB to show that A-1A = I 3. Determi whether (AB)-1 = B-1A-1 4. Determin whether (AT)-1 = (A-1)T 5. Determe whether (A3)-1 = (A-1)3 6. Determi whether (A +...

Question