Company XYZ launches a new software which is tested using 4 independent tests. If there is an error, it will be discovered with probabilities 0.4, 0.1, 0.3 and 0.2 respectively. Suppose that the software does contain an error. What is the probability that it will be found

1. By at least one test?

(b) All four tests?      

Two events ?1 and ?2 are defined on the same probability space such that: ?(?1 ) = 0.7 , ?(?2 ) = 0.5 , and ?(?1 ??? ?2 ) = 0.3. a) Find ?(?1 ?? ?2 ). b) Find ?(?1 | ?2 ). c) Are ?1 and ?2 mutually exclusive (disjoint)? and why? d) Are ?1 and ?2 independent? and why?

A 12-inch well penetrating a 100-ft thick eenfinedr aquifer is pumped at a rate of 100 gpm for 10 years. Determine the drawdown of 100-ft from the well. The storage coefficient of the aquifer is 0.001, permeability 500 gpd/ft, r/B = 0.2, and porosity= 0.3?

A capacitor is connected to a battery and placed in a magnetic field (-z direction) to form a velocity selector. A charge moving at 3,479.6 m/s is not deflected by the velocity selector. If the voltage of the battery is 7 volts and the distance between the sheets is 0.3 meters, what is the amount of the magnetic field in milli-Tesla?

Language: C++
In your main(), use printf() to print out the floating point values for
   some hex data.
   a. To print 1.0, do
         printf("One:      %f\n",0x3FF0000000000000);
      The compiler will give you a warning about the argument being a different
      type than the format, but that is ok.
   b. To print 2.0, do
         printf("Two:      %f\n",0x4000000000000000);
      Remember, to multiply by two, you just add one to the exponent.
   c. Print 4.0, 8.0, and 16.0 (with nice labels, of course).
   d. We can also go the other way. To divide by two, just decreas the 
      exponent by one.  So for 1/2, do
         printf("Half:     %f\n",0x3FE0000000000000);
   e. Print 1/4, 1/8, 1/16.
   f. Negative values have a 1 in the leading bit instead of 0.  A leading 1
      in the bits for a hex digit has value 8, so -1.0 is BFF0000000000000.
      So to print -1.0, do
         printf("Neg One:      %f\n",0xBFF0000000000000);
   g. Print -2, -4, -8, -1/2, -1/4, -1/8 (with nice labels, of course).

a.

We have these hypotheses:

H0: the amount of active ingredient in a pharmaceutical pill is 5 mg

H1: the amount is below 5 mg

We can take a random sample of 40 such pills and find the amount of active ingredient in them, and let the sample average be x-bar. We also know that the standard deviation of the amount of active ingredient is 0.3 mg.

If H0 is right, what is the (approximate) distribution of  ?

b.

A supermarket claims that the average wait time at the checkout counter is less than 9 minutes.  Assume that we know that the standard deviation of wait times is 2.5 minutes.

Consider

H0: mu >= 9

H1: mu < 9

A random sample of 50 customers yielded an average wait time of 8.5 minutes.

What is the p-value for this data?

(Provide four decimal places)-----------------

c.  

A supermarket claims that the average wait time at the checkout counter is less than 8 minutes.  Assume that we know that the standard deviation of wait times is 2.5 minutes. We will test at a significance level of 10%.

Consider

H0: mu >= 8

H1: mu < 8

A random sample of 50 customers yielded an average wait time of 7.8 minutes.

What is the critical value for the Zstat (the Z-test statistic)?

(Provide two decimal places)

d.

A manager is looking at the number of sick days used by employees in a year.

H0: the average number is 8 or below

H1: the average is over 8

We know that the standard deviation of the number of sick days used by employees is 2, and we want to test at 10% significance level.

Say we took a random sample of 50 employees, and checked their records, and found that the average was 8.1

The manager figures that the critical value (z-sub-0.1) is 1.28.

What should be the decision?

How can I make this program able to implement listener for the editable text field:

/////////////////////////////// KiloConverter.java //////////////////////////

import java.awt.BorderLayout;

import java.awt.Color;

import java.awt.event.ActionEvent;

import java.awt.event.ActionListener;

import javax.swing.JButton;

import javax.swing.JFrame;

import javax.swing.JLabel;

import javax.swing.JPanel;

import javax.swing.JTextField;

public class KiloConverter extends JFrame {

// constant for converting km to miles

static final double KM_TO_MILES = 0.6214;

// important components that needs to be accessed throughout the program

private JTextField input, output;

// constructor initializing GUI

public KiloConverter() {

// passing title to super class

super("Kilometer Converter");

// will exit on click

setDefaultCloseOperation(EXIT_ON_CLOSE);

// creating a panel

JPanel panel1 = new JPanel();

// creating components for first row, adding to the above panel

JLabel label1 = new JLabel("Enter a distance in kilometers");

input = new JTextField(15);

JButton calc = new JButton("Calculate");

panel1.add(label1);

panel1.add(input);

panel1.add(calc);

// creating another panel

JPanel panel2 = new JPanel();

// creating components for second row, adding to the above panel

output = new JTextField(15);

output.setEditable(false); // not editable

output.setBackground(Color.LIGHT_GRAY);

JLabel label2 = new JLabel("Miles");

JButton exit = new JButton("Exit");

panel2.add(output);

panel2.add(label2);

panel2.add(exit);

// adding first panel to the north of window, second to the south

add(panel1, BorderLayout.NORTH);

add(panel2, BorderLayout.SOUTH);

// adding action listeners to the buttons

calc.addActionListener(new CalculateButtonListener());

exit.addActionListener(new ExitButtonListener());

// using compact size

pack();

}

// private inner class representing action to be performed when calculate

// button is clicked

private class CalculateButtonListener implements ActionListener {

@Override

public void actionPerformed(ActionEvent e) {

// getting input, parsing to double, converting to miles, displaying

// with 3 digits precision

double km = Double.parseDouble(input.getText());

double miles = km * KM_TO_MILES;

output.setText(String.format("%.3f", miles));

}

}

// private inner class representing action to be performed when exit

// button is clicked

private class ExitButtonListener implements ActionListener {

@Override

public void actionPerformed(ActionEvent e) {

//simply exiting

System.exit(0);

}

}

}

// /////////////////////// Driver.java /////////////////////////////////

//public driver program to run the KiloConverter class

public class Driver {

public static void main(String[] args) {

KiloConverter converter = new KiloConverter();

converter.setVisible(true);

}

}

Problem 17-48 Flexible Budget (LO 17-5)

Oak Hill Township operates a motor pool with 20 vehicles. The motor pool furnishes gasoline, oil, and other supplies for the cars and hires one mechanic who does routine maintenance and minor repairs. Major repairs are done at a nearby commercial garage. A supervisor manages the operations.

Each year, the supervisor prepares a master budget for the motor pool. Depreciation on the automobiles is recorded in the budget to determine the costs per mile.

The following schedule presents the master budget for the year and for the month of July.

The annual budget was based on the following assumptions:

Automobiles in the pool: 20.

Miles per year per automobile: 45,000.

Miles per gallon per automobile: 20.

Gas per gallon: $1.80.

Oil, minor repairs, parts, and supplies per mile: $0.008.

Outside repairs per automobile per year: $270.

The supervisor is unhappy with the monthly report, claiming that it unfairly presents his performance for July. His previous employer used flexible budgeting to compare actual costs to budgeted amounts.

Required:

a. What is the gasoline monthly flexible budget and the resulting amount over- or underbudget? (Use miles as the activity base.) (Do not round intermediate calculations. If the amounts are equal to budget, select "No change".)

b. What is the monthly flexible budget for the oil, minor repairs, parts, and supplies and the amount over- or underbudget? (Use miles as the activity base.) (Do not round intermediate calculations. If the amounts are equal to budget, select "No change".)

\

c. What is the monthly flexible budget for salaries and benefits and the resulting amount over- or underbudget? (Do not round intermediate calculations. If the amounts are equal to budget, select "No change".)