. A person has two meetings schedule in a day. The probability she is late for the first

meeting is 0.4, the probability she is late for the second is 0.5, and the probability

she is late for both meetings is 0.3.

Please explain with where each number comes from and the meaning of formulas used if possible, thank you!

a) Is the event that she is late for the first meeting independent of the event that

she is late for the second meeting? Explain

b) Are the two events disjoint? Explain

c) What is the probability that she is late for at least one meeting?

d) What is the probability that she is not late for either one (she is late for neither)?

e) What is the probability that she is not late for both meetings ?

f) Find the probability that she is late for the first meeting if she was late for the second meeting?

There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = 0.5, P(F) = 0.3, and P(E ∩ F) = 0.12.

(a) What is the probability that the individual must stop at at least one light; that is, what is the probability of the event P(E ∪ F)?


(b) What is the probability that the individual doesn't have to stop at either light?


(c) What is the probability that the individual must stop at exactly one of the two lights?


(d) What is the probability that the individual must stop just at the first light? (Hint: How is the probability of this event related to P(E) and P(E ∩ F)? A Venn diagram might help.)

At the moment the exchange rate of IDR / USD is IDR 10,000 / USD. If in one month a company needs as much as $ 1,000,000 dollars, and the probability that the exchange rate of Rp / USD will increase to Rp. 12,000 / USD is 0.6; still Rp. 10,000 / USD is 0.3, and it drops to RP. 9,000 / USD is 0.1, specify:

a. Calculate the expected value of the rupiah exchange rate in the next month?

b. If there is an option offer the right to buy $ 1,000,000, - for Rp. 10,000 / USD with a premium of Rp. 50,000,000, - should the company buy this option?

c. How much will the company gain / lose if it turns out that in one month the exchange rate is IDR 9,000 / USD.

d. How much will the company gain / lose if it turns out that in one month the exchange rate is IDR 12,000 / USD.

It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.50 6.25 6.75 7.25 7.50 y 9 38 38 50 72 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?

Select one:

a. 89.9%

b. 10.1%

c. 94.8%

d. 0.3%

e. 1.0%

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

H o : p A = 0.15 ; p B = 0.4 ; p C = 0.3 ; p D = 0.15 Complete the table.

Report all answers accurate to three decimal places.

1)

2) What is the chi-square test-statistic for this data?

χ 2 =

Significance level alpha is 0.005.

3) What is the p-value?

p-value =

4) What would be the conclusion of this hypothesis test?

A)Reject the Null Hypothesis

B)Fail to reject the Null Hypothesis

Report all answers accurate to three decimal places.

You measured the following information on a patient.
Blood volume = 5 liters, Hematocrit = 47%
Hemoglobin concentration = 12.3 g/dL whole blood
Total amount of oxygen carried in blood prior to incident = 1020 mL O2
Arterial plasma PO2 = 100 mm Hg
You know that when the patient’s PO2 is 100 mm Hg, the patient’s plasma contained 0.3 mL O2/dL and that hemoglobin was 98% saturated. Unfortunately, the patient reacted poorly to a treatment and a subsequent blood test revealed a hematocrit of 40%. Estimate what hemoglobin concentration (g/dL whole blood) would be needed to maintain the same level of total oxygenation measured prior to the reaction assuming no change in Hb carrying capacity before and after the incident? PLEASE UPLOAD A PDF OF YOUR WORK.

For each of the following, (a) calculate the elasticity, (b) interpret your result (in terms of whether a good is elastic/inelastic, and what the percentage change in quantity will be in response to a 1% change in price), and (c) indicate what would happen to revenues for this good if the price was increased In response to a 10% increase in price, the quantity demanded of Bubly decreased by 20% In response to a 5% decrease in price, the quantity demanded of steak increased by 60% In response to a 10% increase in price, the quantity demanded did not change. Part 2: Figure out how much the quantity demanded changed for each of the following: When the price elasticity of demand is 3, and the price increases by 10%. When the price elasticity of demand is 0, and the price increases by 10%. When the price elasticity of demand is 0.3, and the price increases by 10%.

For each of the following,

(a) calculate the elasticity,

(b) interpret your result (in terms of whether a good is elastic/inelastic, luxury/necessity, and what the percentage change in quantity will be in response to a 1% change in price), and

(c) indicate what would happen to revenues for this good if the price was increased

1. In response to a 10% increase in price, the quantity demanded of Bubly decreased by 20%
2. In response to a 5% decrease in price, the quantity demanded of steak increased by 60%
3. In response to a 10% increase in price, the quantity demanded did not change.

Part 2:

Figure out how much the quantity demanded changed for each of the following:

1. When the price elasticity of demand is 3, and the price increases by 10%.
2. When the price elasticity of demand is 0, and the price increases by 10%.
3. When the price elasticity of demand is 0.3, and the price increases by 10%.

You are going to value Lauryn’s Doll Co. using the FCF model. After consulting various sources, you find that Lauryn's has a reported equity beta of 1.5, a debt-to-equity ratio of 0.3, and a tax rate of 40 percent. Assume a risk-free rate of 4 percent and a market risk premium of 12 percent. Lauryn’s Doll Co. had EBIT last year of $45 million, which is net of a depreciation expense of $4.5 million. In addition, Lauryn's made $4.25 million in capital expenditures and increased net working capital by $4.1 million. Assume the FCF is expected to grow at a rate of 2 percent into perpetuity. What is the value of the firm? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

Firm value= million

1.

Looking to compare, thanks.

A) Allocate the two support departments' costs to the two operating departments using the following methods?

Direct Method
Step-down method (Allocate AS first)
Step -down method (Allocate IS first)

B) Compare and Explain differences in the support department costs allocated to each operating department?

C) What approaches might be used to decide the sequence in which to allocate support departments when using the step-down method?