If an infected person is tested for corona, the probability that the test will give a positive result is 0.60 and if this person is not infected the probability that it will give a positive result is 0.10. Suppose that 2% of the people are corona infected. If one random person is tested for corona using this test, then the probability that the test will give a positive result is

What is the probability that if Paul, Mary, and Susan are in a group of 7 people randomly seated in 7 chairs, they want to be in consecutive chairs. What is the probability if the chairs are set in a circle?

The population proportion is .65 . What is the probability that a sample proportion will be within + or - .02 of the population proportion for each of the following sample sizes? Round your answers to 4 decimal places. Use z-table. a. n=100 b. n=200 c. n=500 d. n=1000 e. What is the advantage of a larger sample size? With a larger sample, there is a probability will be within + or - .02 of the population proportion .

A stock has the following probability distribution:

      _____________________________________________________________________

      Demand for the                 Probability of this                   Rate of return if this

      Company’s products         demand occurring                   demand occurs                       

_____________________________________________________________________

      Weak                                 0.10                                         -50%

      Below Average                 0.20                                         -5%

      Average                             0.40                                         16%

      Above Average                 0.20                                         25%

      Strong                               0.10                                         60%

      ______________________________________________________________________

      Calculate the stock’s expected return, variance of returns, and standard deviation of returns.

. The joint probability density function of X and Y is given by

?(?, ?) = { ??^2? ?? 0 ≤ ? ≤ 2, 0 ≤ ?, ??? ? + ? ≤ 1

0 ??ℎ??????

(a) Determine the value of c.

(b) Find the marginal probability density function of X and Y.

(c) Compute ???(?, ?).

(d) Compute ???(?^2 + ?).

(e) Determine if X and Y are independent

Explain how the KMV model predicts bankruptcy probability?

What is non probability sample? Discuss and give example

What is the probability that a company does not experience a stockout if they have an average demand during lead time of 120 units and a standard deviation during lead time of 20 units and assuming that their ROP is set to 159 units} .Also note that demand during lead time follows a normal distribution

Wingler Communications Corporation (WCC) produces premium stereo headphones that sell for $28.90 per set, and this year's sales are expected to be 440,000 units. Variable production costs for the expected sales under present production methods are estimated at $10,000,000, and fixed production (operating) costs at present are $1,560,000. WCC has $4,800,000 of debt outstanding at an interest rate of 8%. There are 240,000 shares of common stock outstanding, and there is no preferred stock. The dividend payout ratio is 70%, and WCC is in the 25% federal-plus-state tax bracket. WCC is a small company with average sales of $25 million or less during the past 3 years, so it is exempt from the interest deduction limitation.

The company is considering investing $7,200,000 in new equipment. Sales would not increase, but variable costs per unit would decline by 20%. Also, fixed operating costs would increase from $1,560,000 to $1,800,000. WCC could raise the required capital by borrowing $7,200,000 at 10% or by selling 240,000 additional shares of common stock at $30 per share.

1. What would be WCC's EPS (1) under the old production process, (2) under the new process if it uses debt, and (3) under the new process if it uses common stock? Do not round intermediate calculations. Round your answers to the nearest cent.
   1.  $  
   2.  $  
   3.  $  
2. 
   
3. At what unit sales level would WCC have the same EPS assuming it undertakes the investment and finances it with debt or with stock? {Hint: V = variable cost per unit = $8,000,000/440,000, and EPS = [(PQ - VQ - F - I)(1 - T)]/N. Set EPS_Stock = EPS_Debt and solve for Q.} Do not round intermediate calculations. Round your answer to the nearest whole number.
     units
4. 
   
5. At what unit sales level would EPS = 0 under the three production/financing setups - that is, under the old plan, the new plan with debt financing, and the new plan with stock financing? (Hint: Note that V_Old = $10,000,000/440,000, and use the hints for part b, setting the EPS equation equal to zero.) Do not round intermediate calculations. Round your answers to the nearest whole number.
   Old plan:   units
   New plan with debt financing:   units
   New plan with stock financing:   units
6. 
   
7. On the basis of the analysis in parts a through c, and given that operating leverage is lower under the new setup, which plan is the riskiest, which has the highest expected EPS, and which would you recommend? Assume that there is a fairly high probability of sales falling as low as 250,000 units, and determine EPS_Debt and EPS_Stock at that sales level to help assess the riskiness of the two financing plans. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest cent.
   EPS_Debt: $  
   EPS_Stock: $  

Wingler Communications Corporation (WCC) produces premium stereo headphones that sell for $28.80 per set, and this year's sales are expected to be 460,000 units. Variable production costs for the expected sales under present production methods are estimated at $10,100,000, and fixed production (operating) costs at present are $1,560,000. WCC has $4,800,000 of debt outstanding at an interest rate of 9%. There are 240,000 shares of common stock outstanding, and there is no preferred stock. The dividend payout ratio is 70%, and WCC is in the 25% federal-plus-state tax bracket. WCC is a small company with average sales of $25 million or less during the past 3 years, so it is exempt from the interest deduction limitation.

The company is considering investing $7,200,000 in new equipment. Sales would not increase, but variable costs per unit would decline by 20%. Also, fixed operating costs would increase from $1,560,000 to $1,800,000. WCC could raise the required capital by borrowing $7,200,000 at 10% or by selling 240,000 additional shares of common stock at $30 per share.

1. What would be WCC's EPS (1) under the old production process, (2) under the new process if it uses debt, and (3) under the new process if it uses common stock? Do not round intermediate calculations. Round your answers to the nearest cent.
   1.  $  
   2.  $  
   3.  $  
2. 
   
3. At what unit sales level would WCC have the same EPS assuming it undertakes the investment and finances it with debt or with stock? {Hint: V = variable cost per unit = $8,080,000/460,000, and EPS = [(PQ - VQ - F - I)(1 - T)]/N. Set EPS_Stock = EPS_Debt and solve for Q.} Do not round intermediate calculations. Round your answer to the nearest whole number.
     units
4. 
   
5. At what unit sales level would EPS = 0 under the three production/financing setups - that is, under the old plan, the new plan with debt financing, and the new plan with stock financing? (Hint: Note that V_Old = $10,100,000/460,000, and use the hints for part b, setting the EPS equation equal to zero.) Do not round intermediate calculations. Round your answers to the nearest whole number.
   Old plan:   units
   New plan with debt financing:   units
   New plan with stock financing:   units
6. 
   
7. On the basis of the analysis in parts a through c, and given that operating leverage is lower under the new setup, which plan is the riskiest, which has the highest expected EPS, and which would you recommend? Assume that there is a fairly high probability of sales falling as low as 250,000 units, and determine EPS_Debt and EPS_Stock at that sales level to help assess the riskiness of the two financing plans. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest cent.
   EPS_Debt: $  
   EPS_Stock: $