Statistics indicate that 4% of males and 0.3% of females are color-blind.Assume thata population is half female.What is the probability that a randomly selected person isfemale, given that the person is color-blind?

What is the pH of solution if 40 mL 0.1 M HCl is mixed with 60 mL 0.2 M HAc?

Determine the area under the standard normal curve that lies between the following values z=0.2 and z=1.4

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(11.8, 0.2) distribution. The process specifications call for applying a force between 11.4 and 12.4 kg.

(a) What percent of tablets are subject to a force that meets the specifications?

(b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.9 kg. The standard deviation remains 0.2 kg. What percent now meet the specifications?

Consider the coordination of Cu2+ by the tridentate iminodiacetate ligand . When the monoprotonated form, , abbreviated HA , is added to an aqueous solution of Cu2+, the following equilibrium is rapidly established:Cu 2+ + HA- ----------> CuA + H+If a solution prepared by combining 100 mL of 0.2 M Cu2+ and 100 mL of 0.2 M HA- is adjusted to pH 1.60 with NaOH, what are the concentrations of Cu2+, HA- , and CuA in the solution? (The Ka for HA- is 4.70 x 10^-10, and K1 for Cu 2+ + A -2 --------> CuA is 4.26 x 10^10.

Expected Return: Discrete Distribution

A stock's return has the following distribution:

Calculate the stock's expected return. Round your answer to two decimal places.

  %

Calculate the standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.

  %

The probability distributions of possible returns for Stocks X and Y are as follows:

Economic State                Probability                  X                     Y

Recession                              0.2                           -15%               -5%

Normal                                  0.6                           20%                 15%

Boom                                    0.2                           30%                 25%

1. Calculate the expected return on each stock. Show your calculations. (8 points)
2. Calculate the standard deviation for each stock. Show your calculations. (10Points)
3. Which stock do you consider riskier? Explain. (2 Points)
4. In which stock would you prefer to invest? Explain. (2 Points)

aro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow:

Compute the allocation of service department costs to producing departments using the direct method. (Do not round intermediate calculations.)

Total Costs

Machining

Assembly

Assume that both Machining and Assembly work on just two jobs during the month of August: CM-22 and CM-23. Costs are allocated to jobs based on machine-hours in Machining and labor-hours in Assembly. The number of labor- and machine-hours worked in each department are as follows:

How much of the service department costs allocated to Machining and Assembly in the direct method should be allocated to Job CM-22? How much should be allocated to Job CM-23?

Job cm-22 job cm-23

Machining

Assembly

Caro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow:

1)

Compute the allocation of service department costs to producing departments using the direct method. (Do not round intermediate calculations.)

Machining

Assembly

2) Assume that both Machining and Assembly work on just two jobs during the month of August: CM-22 and CM-23. Costs are allocated to jobs based on machine-hours in Machining and labor-hours in Assembly. The number of labor- and machine-hours worked in each department are as follows:

How much of the service department costs allocated to Machining and Assembly in the direct method should be allocated to Job CM-22? How much should be allocated to Job CM-23? (Round "Department rate" to 2 decimal places.)
CM-22 CM-23

Machining:

Assembly: