7. Two fair six sided dice are rolled.

(i) What is the probability that the sum of the two results is 6?
(ii) What is the probability that the larger value of the two results is 4?

(iii) What is the probability that the both results are at most 4?
(iv) What is the probability that the number 3 appears at least once?

You have a bag of marbles. Your bag contains 75 marbles. You only want the red marbles. You know that 30 of the marbles in the bag are red. You randomly select two marbles from the bag and set them aside without looking at them. Let X represent the number of red marbles removed. (hint. This is without replacement.)

a) find the probability mass function (i.e. probability distribution) for the number of red marbles selected.

b) find the expected number of red marbles selected.

c) what is the probability fewer than two red marbles are removed from the bag?

The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal.

[4 decimal places]

What is the probability that between 2,500 and 4,200 acres will be burned in any given year? *

2 points

Your answer

What is the probability that less than 4000 acres were burned? *

2 points

Your answer

What is the probability that more than 4300 acres was burnt? *

2 points

Your answer

What number of burnt acres corresponds to the 28%? *

2 points

Your answer

Since 1970, Super Rise, Inc., has provided maintenance services for elevators. On January 1, 2021, Super Rise obtains a contract to maintain an elevator in a 90-story building in New York City for 10 months and receives a fixed payment of $87,000. The contract specifies that Super Rise will receive an additional $43,500 at the end of the 10 months if there is no unexpected delay, stoppage, or accident during the year. Super Rise estimates variable consideration to be the most likely amount it will receive.

Required:
1. Assume that, because the building sees a constant flux of people throughout the day, Super Rise is allowed to access the elevators and related mechanical equipment only between 3 a.m. and 5 a.m. on any given day, which is insufficient to perform some of the more time-consuming repair work. As a result, Super Rise believes that unexpected delays are likely and that it will not earn the bonus. Prepare the journal entry Super Rise would record on January 1.
2. Assume instead that Super Rise knows at the inception of the contract that it will be given unlimited access to the elevators and related equipment each day, with the right to schedule repair sessions any time. When given these terms and conditions, Super Rise has never had any delays or accidents in the past. Prepare the journal entry Super Rise would record on January 31 to record one month of revenue.
3. Assume the same facts as requirement 1. In addition assume that, on May 31, Super Rise determines that it does not need to spend more than two hours on any given day to operate the elevator safely because the client’s elevator is relatively new. Therefore, Super Rise believes that unexpected delays are very unlikely. Prepare the journal entry Super Rise would record on May 31 to recognize May revenue and any necessary revision in its estimated bonus receivable3

what is the formula in excel to get probability answers on range of numbers -

Question: mean number is 10.3 per day standard deviation is 2.25 per day for any day what is the probability that the number of customers returning items is between 12 and 14 I don't know how to write the equation to obtain P

In a random selection of 500 people from a crowd which consists of 51% males and 49% females.

1) distribution of the number of males X chosen in the sample?

2)probability that the number of males chosen is at least 260?.

3) what is the meaning to say that the five hundred people were randomly selected in terms of probability

Explain why the use of debt by a firm necessitates an estimate of the cost of equity and the cost of debt and why the beta of a company is a function of a number of factors; identify the most important three factors (either based on your opinion, the text, or other research) in priority order (Highest to lowest priority) from your perspective. Explain your rationale for prioritization.

Question 1: A drive-in movie theatre charges viewers by the carload but keeps careful records of the number of people in each car. The probability distribution for the number of people in each car entering the drive-in is given in the table.

x = (px)

1= 0.02

2= 0.30

3=0.10

4= 0.30

5= 0.20

6=0.08

a. Suppose two cars entering the drive-in are selected at random. Find the exact probability distribution for the maximum number of people in either one of the cars, M. (Show all your work in order to get full marks, i.e., show: 1. the total number of samples of two cars, 2. the list all the possible samples of two cars, the value of max, and the corresponding probability. 3. the exact distribution for the maximum number of people in either one of the cars).

b. Find the mean, variance, and standard deviation of M.

I have entered this line of code for exercise 6-8 saying to Write an application that allows a user to enter any number of student quiz scores, as integers, until the user enters 99. If the score entered is less than 0 or more than 10, display Score must be between 10 and 0 and do not use the score. After all the scores have been entered, display the number of valid scores entered, the highest score, the lowest score, and the arithmetic average. I only have 96%. done with one result missing saying that the score must be between 10 and 0 even though i see that its there, what do i need to change if anything?

import java.util.*;

public class QuizScoreStatistics {

   public static void main(String[] args) {

       int quizScore = 0, validScores = 0;

       int highestScore = 0;

       int lowestScore = 10;

   double sum =0, average=0.0;

   Scanner scan = new Scanner(System.in);

   do {

       //prompt & read score from user

       System.out.print("Enter the quiz score : ");

       quizScore = scan.nextInt();

       if(quizScore == 99)

           break;

       if(quizScore<0 || quizScore>10) {

           System.out.println("Score must must be between 10 and 0: ");

       }

       else {

           //Calculate sum of quiz score

           sum += quizScore;

           //Increment valid score counter

           validScores++;

           //Determine highest score

           if(quizScore > highestScore)

               highestScore = quizScore;

           //Determine lowest score

           if(quizScore < lowestScore)

               lowestScore = quizScore;

       }

   }while(true);

   //calculating the average

   average = sum / validScores;  

   //Printing the results

   System.out.println("Number of valid scores: " + validScores);

   System.out.println("Highest Score: " + highestScore);

   System.out.println("Lowest Score: " + lowestScore);

   System.out.println("Arithmetic average: " + String.format("%.2f", average));

   }

}