Question 1

What is the expected value when a $1 lottery ticket is bought in which the purchaser wins exactly $10 million if the ticket cont

Nadusha1986 [10]

We expect to lose $0.37 per lottery ticket

<u>Explanation:</u>

six winning numbers from = { 1, 2, 3, ....., 50}

So, the probability of winning:

$P(win) = \frac{ no of favorable outcomes}{no of possible outcomes}$

$P(win) = \frac{1}{^5^0C_6} \\\\P (win) = \frac{6! X (50 - 6)!}{50!} \\\\P(win) = \frac{6! X 44!}{50!} \\\\P(win) = \frac{1}{15,890,700}$

The probability of losing would be:

P(loss) = 1 - P(win)

$P(loss) = 1 - \frac{1}{15,890,700} \\\\P(loss) = \frac{15,890,699}{15,890,700}$

According to the question,

When we win, then we gain $10 million and lose the cost of the lottery ticket.

So,

$10,000,000 - 1 = $9,999,999

When we lose, then we lose the cost of the lottery ticket = $1

The expected value is the sum of the product of each possibility x with its probability P(x):

E(x) = ∑ xP(x)

$= 9,999,999 X \frac{1}{15,890,700} + ( -1 ) X \frac{15,890,699}{15,890,700} \\\\=- \frac{5,890,700}{15,890,700} \\\\= - \frac{58,907}{158,907} \\\\= - 0.37$

Thus, we expect to lose $0.37 per lottery ticket

7 0

3 years ago

Logan Corporation has 30 employees, 10 in "A-line," and 20 in "B-line." Logan incurred $180,000 in fringe benefits costs last ye

fomenos

Answer:

The correct answer is A.

Explanation:

Giving the following information:

Logan Corporation has 30 employees, 10 in "A-line," and 20 in "B-line." Logan incurred $180,000 in fringe benefits costs last year.

First, we need to calculate the allocation rate based on number of employees:

Estimated allocation rate= total estimated fringe costs for the period/ total amount of allocation base

Estimated allocation rate= 180,000/30= $6,000 per employee.

Now, we can allocate fringe costs to the A-line:

Allocated fringe costs= Estimated Estimated allocation rate* Actual amount of allocation base

Allocated fringe costs= 6,000*10= $60,000

3 0

3 years ago

Rockwell Inc. reported the following results for the year ended June 30, 2016:

pychu [463]

Answer:

See attached file

Explanation:

The Retained Earnings Statement is prepared to show changes in the amount of retained earnings over the accountable period. Retained earnings and Stockholders´ contributions are the main accounts in Stockholders´ Equity.

The first ones are profits reserved by the company to invest in future projects rather than distribute as dividends to shareholders, that’s why are calculated as follows:

Retained Earnings Final Balance = Retained Earnings Beginning balance – Dividend in cash – Stock dividend + Net Income – Net loss.

Stock Divided will register as Stockholders´ contributions.

4 0

3 years ago

Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal revenue for a product is MR = 1

n200080 [17]

Answer:

Profit 6,130

Explanation:

MC = 30X + 4

when X=5

Cost to produce 5 units:

We will need to calcualte the MC for 1, 2 , 3, 4 and 5 units and then add them together

MC = 30(5) + 4 = 150 + 4 = 154

MC = 30(4) + 4 = 150 + 4 = 124

MC = 30(3) + 4 = 150 + 4 = 94

MC = 30(2) + 4 = 150 + 4 = 64

MC = 30(1) + 4 = 150 + 4 = 34

Total 470

Giving this, now anther way, more easy would be to use the Gauss method to a summatory:

$S=\frac{n\times(n+1)}{2}$

S to 5 from 1 of (30x+4) =

$30 \times \frac{5\times6}{2} +4 \times 5$

S = 470

Now we can continue:

Total Marginal cost 470 + Fixed Cost: 900 = 1370

MR = 1500 revenue for adding 1 unit

1500 x 5 = 7500 total revenue

total revenue - total cost = profit

7500 - 1370 = 6,130

3 0

3 years ago

Zino Company determines that a customer balance of $200,from Hollis Co. is uncollectible. Zino uses the allowance method to acco

Natalka [10]

Answer:

The correct answer is A

Explanation:

The journal entry to be posted to write off the balance of uncollectible is as:

Allowance for Doubtful Accounts A/c..........................Dr $200

Accounts Receivable A/c.......................................Cr $200

As the allowance method is used so the accounts receivable account will be credited and the allowance for doubtful accounts is debited with the amount which is recovered that is $200.

Allowance method is generally refer to one of the ways for reporting the uncollectible or bad debt expense which results from a company selling the goods on credit.

3 0

4 years ago