At a picnic, two teams of kids played a soccer game, after which one player's name was randomly chosen to win a prize. There are 22 kids in total. The winning team in the soccer game consists of 8 girls and 3 boys and the losing team consists of 4 girls and 7 boys. Given that the prize winner is a boy, what is the probability that he also comes from the winning soccer team?

Hint: Let E and F be events in a sample space S with P(F) > 0. The conditional probability of E given F is P(E|F) = P(E∩F) / P(F) = n(E∩F) / n(F)

MUTUALLY EXCLUSIVE EVENTS AND THE ADDITION RULE

Determine whether the following pair of events are mutually exclusive.

1) A card is drawn from a deck.  

C={It is a King} D={It is a heart}.

2) Two dice are rolled.

G={The sum of dice is 8} H={One die shows a 6}

3) A family has three children.

K={First born is a boy} L={The family has children of both sexes}

Use the addition rule to find the following probabilities.

1) A die is rolled, and the events E and F are as follows:

E={An even number shows}   F={A number greater than 3 shows}

Find P(E or F)

Under certain water​ conditions, the free chlorine​ (hypochlorous acid,​ HOCl) in a swimming pool decomposes according to the law of uninhibited decay. After shocking a​ pool, the pool​ boy, Geoff, tested the water and found the amount of free chlorine to be 2.4 parts per million​ (ppm). ​ Twenty-four hours​ later, Geoff tested the water again and found the amount of free chlorine to be 2.1 ppm. What will be the reading after 2 days​ (that is, 48 ​hours)? When the chlorine level reaches 1.0​ ppm, Geoff must shock the pool again. How long can Geoff go before he must shock the pool​ again?

At the local cinema, you notice that there is a box office at the entrance where the cashier receives cash from customers and, with a press of a button, a machine ejects serially numbered tickets. To enter the movie theatre, a customer must present his or her ticket to the door attendant. The attendant tears the ticket in half and returns the stub to the customer. The other half of the ticket is dropped into a locked box.

Required

Identify and explain two internal control principles that you feel are present in this scenario.

A football coach claims that players can increase their strength by taking a certain supplement. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. The results are listed below. Thirty days later, after regular training using the supplement, they are tested again. The new results are listed below. Test the claim that the supplement is effective in increasing the athletes' strength. Use α = 0.05. Assume that the distribution is normally distributed.

Write the following in C language for Arduino: Write a program that increases the LED brightness in five steps with each press of the button. Remember you are going to using a digital input and the "digitalRead" command. You are going to need to use a PWM pin and use the "analogWrite" command. The maximum value for our Arduino R3 boards is 255 and you need five steps (25%, 50%, 75%, 100%, and 0%) so you will need to determine the values for each step.

John Iceland, Chapter 6: “The Great Recession.” In Poverty in America: A Handbook, 3/ed. Berkeley, CA: University of California Press, 2013

Note in the outline below, item III: Consequences of the Great Recession, select one of the three subsections (A, B, or C) and write a short summary.

Outline of Chapter 6: The Great Recession

1. Introduction
2. Causes of the Great Recession
3. Consequences of the Great Recession

1. Macroeconomic Effects
2. Effects of the Recession on Poverty
3. The Politics of the Great Recession

4. Conclusion

You are required to submit a 4-page, typed, single-spaced paper describing the Canadian culture and comparing it with the culture of your home country India. This paper should reflect your thoughts on Canadian values and how these values are similar/different to the values of your home country India. You are required to research at least two scholarly publications and three articles in the popular press to inform your thoughts. Use APA style to reference your citations.

There can be difficulty in communicating with the appropriate clarity and detail. Sometimes it’s the project manager who can’t stop outlining every single technical step in excruciating detail to the executive committee. Other times it’s the executive unable to translate the grand strategic vision into actual project objectives and scope. Or it’s the sponsor who doesn't engage with external stakeholders beyond a press release. How does a project manager and their team settle in on the right level of communication for a project?

The company provides a reconciliation of the $5.66 EPS figures to the income statement’s reported EPS figure of $8.78. Also referred to as “Core EPS” in a PepsiCo-related press release, this figure, $5.66, is a non-GAAP financial measure many companies choose to report. What does a non-GAAP financial measure mean? What does the terminology “core” suggest to you? What is the reason that many companies provide non-GAAP financial information in their financial reports?