A bag contains 9 red marbles, 7 white marbles, and 8 blue marbles. You draw 4 marbles out at random, without replacement.

Find the following probabilities and round to 4 decimal places.

a. The probability that all the marbles are red is (0.0118) Incorrect

b. The probability that none of the marbles are red is 0.9882) (Incorrect

We play a game with a deck of 52 regular playing cards, of which 26 arered and 26 are black. They’re randomly shuffled and placed face down ona table. You have the option of “taking” or “skipping” the top card. Ifyou skip the top card, then that card is revealed and we continue playingwith the remaining deck. If you take the top card, then the game ends;you win if the card you took was revealed to be black, and you lose if itwas red. If we get to a point where there is only one card left in the deck,you must take it. Prove that you have no better strategy than to take thetop card – which means your probability of winning is 1/2.

Hint: Prove by induction the more general claim that for a randomlyshuffled deck ofncards that are red or black – not necessarily with thesame number of red cards and black cards – there is no better strategy than taking the top card

A pet store wants to compare day versus evening visiting times to determine when is a more popular time for their Siamese cat exhibit. They randomly observed people viewing the exhibit and noted 30 visitors stayed for an average of 15 minutes with a standard deviation of 3.1 during the day. During the evening, 26 visitors stayed for an average of 9 minutes with a standard deviation of 2.0. Assuming a normal distribution, determine if there is a significant difference in viewing time between day and evening hours.

1. Which test will you use to determine significance?

2. State the null and alternative hypotheses

3. State your research criteria

4.  Calculate your test statistic

5.  State your decision regarding the significance and interpret your results.

6.  Calculate the confidence interval, if applicable.

7.  Calculate the effect size and proportion of variance, if applicable.

Determine the ultimate load carrying capacity of a group pile in the following scenarios: a) Piles are 20 m long, 3 by 3 in plan, square in cross section and to be driven into a granular soil b) Piles are 20 m long, 3 by 3 in plan, square in cross section and to be driven into saturated clay soil c) Provide a reflective comment on your results

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.)

Use α = 0.05 to test for any significant differences.

State the null and alternative hypotheses.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

State your conclusion.

You are about to enter the tax profession. Your future employer Tax Advice and Policy Services (TAPS) has stressed the importance of being able to clearly and professionally structure and present ideas, judgements and opinions. TAPS has informed you that in your new role, you could be expected to brief a wide audience including the Australian Tax Office, Treasury, international corporate taxpayers, and small business owners. TAPS is concerned that you may not fully understand the complexity of the taxation regime and the additional complications that COVID-19 has introduced to the fiscal system.

Fortunately, during your time at QUT you studied advanced tax law where the real world came to you and you heard from nine senior tax experts from around the world. Each were interviewed throughout your unit, sharing their insights into current problems and future challenges in tax.

TAPS has advised you that on your first day, you will be asked to prepare an internal briefing note to be circulated among the partners. This briefing note will be used to determine what section of the firm you are placed into. As part of that briefing note, you are asked to address the following:

e) What is one specific thing you would add to Australia’s tax system and why?

You are about to enter the tax profession. Your future employer Tax Advice and Policy Services (TAPS) has stressed the importance of being able to clearly and professionally structure and present ideas, judgements and opinions. TAPS has informed you that in your new role, you could be expected to brief a wide audience including the Australian Tax Office, Treasury, international corporate taxpayers, and small business owners. TAPS is concerned that you may not fully understand the complexity of the taxation regime and the additional complications that COVID-19 has introduced to the fiscal system.

Fortunately, during your time at QUT you studied advanced tax law where the real world came to you and you heard from nine senior tax experts from around the world. Each were interviewed throughout your unit, sharing their insights into current problems and future challenges in tax.

TAPS has advised you that on your first day, you will be asked to prepare an internal briefing note to be circulated among the partners. This briefing note will be used to determine what section of the firm you are placed into. As part of that briefing note, you are asked to address the following:

d) What is one specific thing you would remove from Australia’s tax system and why?

Name a product that you regularly purchase from a firm that operates in an oligopolistic industry. Explain why the product and firm fit the model of oligopoly. Think about the TV commercials and/or print advertisements that you’ve seen from this industry: What interdependence have you noticed between the firm you selected and its rivals in terms of product differentiation, price leadership, or price competition? Explain your answer. please type.