1. 1)A casino wants to introduce a new game. In this game a player rolls two 4-sided dice and their winnings are determined by the following rules:
   1. Otherwise, the player wins nothing.
   2. If 3 ≤ sum ≤ 5 the player wins $25.
   3. If sum ≥ 6 the player wins $100.

1. a)Determine the probability distribution for this gamble.

b)How much should the casino charge for this game if they want to make a profit in the long run? Show the calculations that support your decision

c)What is the standard error, σ_X, for this gamble

1. Complete the probability distribution for X below.

2. Compute: (i) P (X ≤ 3) and (ii) P (X < 3)

3. Compute: P (X > 1)

4. Compute: P (X is odd)

5. Compute the expected value and variance of X.

1.

Trident Developers purchased a computer system for $100,000 on June 4, 2003. The computer system is used for business 100% of the time. The accountant for the company elected to take a $12,000 Section 179 deduction, and the asset qualified for a special depreciation allowance (see Table 17-4).

Click here for Table 17-4

a. What was the basis for depreciation of the computer system?

$

b. What was the amount of the first year's depreciation using MACRS?

Click here for Table 17-1 and Table 17-2

$

2.

Use the declining-balance method of depreciation to complete the table below. Round to the nearest hundredth of a percent when necessary.

Do not enter the percent symbol in your answer.

3.

Use the declining-balance method of depreciation to complete the table below. Round to the nearest hundredth of a percent when necessary.

Do not enter the percent symbol in your answer.

4.

1. The movie distributor charges a movie theatre $4 per ticket to rent a movie. Suppose the theatre can seat a maximum of 200 people. The demand for the movie is different for the afternoon showing and for the evening showing. Based on the demand function P = 10 – Q/10 for the afternoon showing and P = 20 – Q/10 for the evening showing, the marginal-revenue function for the afternoon is MR = 10 – Q/5 and for the evening is MR = 20 – Q/5.

a. Calculate the profit-maximizing price in the evening and the afternoon; also calculate how many tickets will be sold for each show.

b. Suppose that the movie distributor now charges a flat fee of $1000 to show the movie regardless of the number of tickets sold. Will the movie theatre owner prefer this arrangement?

2. Assume that a monopolist decides to maximize revenue rather than profit. How does this operating objective change the size of the deadweight loss? If you are a “benevolent” manager of a monopoly firm and are interested in reducing the deadweight loss of monopoly, should you maximize profits or maximize revenue? Explain.

3. Suppose that you are a producer of anti-aging cream in a monopolistically competitive industry. This industry is monopolistically competitive because each producer uses a unique formula and protects it as a top secret; further, each product has its own brand name. The demand for your brand of cream is described by equation P = 200 - 2Q and the marginal revenue function is MR = 200 - 4Q. Assume the marginal cost of producing each unit of output is $4, and fixed costs are $1,000. In the short run, how many bottles of cream should you produce to maximize profits? What price should you charge? Calculate economic profits.

1. (a) How many integers from 197 to 603 are divisible by 4?
(b) How many integers from 97 to 995 are divisible by 6?
(c) If the largest of 87 consecutive integers is 255 then what is the smallest?

2. Compute the following:

(a)9!

(b)P(15,8)

(c)8!

(d)P(3,6)

For each of the following independent cases (1–4), compute the missing values. (Enter all amounts as positive values.)

1.

Sales (in thousands of dollars) over 5 days at 4 different stores are recorded below.

Test the claim that there is a significant difference among the mean amount of sales at the 4 stores, using α=0.05. Round you answer to 3 decimal places.

Group of answer choices

p-value=0.000, evidence support claim

p-value=0.578, evidence support claim

p-value=3.796, evidence not support claim

p-value=0.578, evidence not support claim

p-value=0.000, evidence not support claim

2.

We randomly sample 200 adults and ask whether they like plain, peanuts or almond M&M's. The result is summarized according to gender. Test the claim that the preference of M&M's is independent of gender. Use α=0.01. Round your answer to 3 decimal places.

Group of answer choices

p-value=0.237, evidence support claim

p-value=0.002, evidence not support claim

p-value=0.293, evidence support claim

p-value=0.237, evidence not support claim

p-value=0.002, evidence support claim

3.

Mr. Arnold teaches an algebra course and he gave 2 tests to the 29 students in the class. Below is a summary of how the 29 students performed on those 2 tests:

Test 1: Average=86.66, standard deviation=8.78

Test 2: Average=66.83, standard deviation=17.67

Test 1- Test 2: Average= 18.83, standard deviation=14.87

Assuming that the data are normal, we want to test the claim that students' average score from Test 1 is higher than Test 2. Use a 0.05 level of significance. Round your answer to 3 decimal places.

Group of answer choices

p-value=1.000, evidence not support claim

p-value=0.000, evidence not support claim

p-value=1.041, evidence support claim

p-value=0.000, evidence support claim

p-value=1.000, evidence support claim

Let X, Y, and Z independent random variables with variance 4 and mean 1. Find the correlation coefficient between (X-2YX+1) and (4X+Y)

Zapzap Corporation issued $4,000,000 in five-year, 4% bonds on August 1, 2019. Interest is to be paid semi-annually on Feb 1 and August 1. The bonds were sold to yield 6% effective annual interest. Pine Corporation has a calendar year-end and follows IFRS. Instructions: Prepare the entries required for these bonds at • December 31, 2019(year end) • February 1, 2020 • August 1, 2020 when the interest was paid, and the entire issue was retired early for $4,350,000 plus interest.