Suppose the number of customers arriving in a bookstore is Poisson distributed with a mean of 2.3 per 12 minutes. The manager uses a robot to observe the customers coming to the bookstore. a)What is the mean and variance of the number of customers coming into the bookstore in 12 minutes? b)What is the probability that the robot observes 10 customers come into the bookstore in one hour? c)What is the probability that the robot observes at least one customer come into the bookstore within half an hour?

Suppose the time a customer spends in the bookstore is exponentially distributed with a mean of 8 minutes. d) Lisa arrives in the bookstore at 8:00 am, what is the probability that Lisa leaves between 8:04 and 8:05 am? e) Suppose the robot finds Lisa has been in the bookstore for 5 minutes and Jimmy has been in the bookstore for 6 minutes. Conditioned on that, what is the probability that Jimmy leaves the bookstore before Lisa? f) Suppose the robot has been observing the customers in the bookstore for one year, and finds that 50% of the customers will stay in the bookstore for k minutes. What is the value of k?

You may need to use the appropriate technology to answer this question.

Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table.

Calculate the value of the test statistic. (Round your answer to three decimal places.)

=

Calculate the p-value. (Round your answer to four decimal places.)

p-value =

(b)

What is the point estimate of the difference between the two population means? (Use mean score first round − mean score fourth round.)

=

(c)

What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)

=

Remove the largest number from each data set and repeat the calculations (samplecomparison.xlsx). Answer the questions below.

The range of the first data set is _____ .

The variance of the first data set is _____ . (Round to three decimal places as needed)

The standard deviation of the first data set is _____ . (Round to three decimal places as needed)

The range of the second data set is _____ .

The variance of the second data set is _____ . (Round to three decimal places as needed)

The standard deviation of the second data set is _____ . (Round to three decimal places as needed)

Sample Comparison Data:

Remove the largest number from each data set and repeat the calculations (samplecomparison.xlsx). Answer the questions below.

The range of the first data set is _____ .

The variance of the first data set is _____ . (Round to three decimal places as needed)

The standard deviation of the first data set is _____ . (Round to three decimal places as needed)

The range of the second data set is _____ .

The variance of the second data set is _____ . (Round to three decimal places as needed)

The standard deviation of the second data set is _____ . (Round to three decimal places as needed)

Sample comparison Data:

Cash outflows to purchase available-for-sale securities on a long-term basis would be reported in the investing section of the cash flow statement.

Question 25 options:

Question 26 (1 point)

A cash flow statement starts with net income and adds (or deducts) items that did not affect cash to arrive at net cash provided by operating activities if the indirect method is used.

Question 26 options:

Question 27 (1 point)

Saved

The issue of bonds to acquire land would be shown in the financing section.

Question 27 options:

Question 28 (1 point)

If equipment was sold for $15,000 and a loss of $10,000 was recognized, investing activities would show an inflow of $15,000.

Question 28 options:

Question 29 (1 point)

Saved

Free cash flow is calculated by deducting cash used (provided) by investing activities from cash provided (used) by operating activities.

Question 29 options:

Question 30 (1 point)

Saved

A company has credit sales of $150,000 and cash sales of $90,000 during the same year that the Accounts Receivable account decreased by $20,000. What was the total cash received from customers?

Question 30 options:

Question 31 (1 point)

Cash inflows from investing activities include:

Question 31 options:

Question 32 (1 point)

Operating activities do not include cash flows

Question 32 options:

Question 33 (1 point)

Which of the following would decrease net cash provided by operating activities?

Question 33 options:

An alternative under consideration involves incurring $50 in costs to generate $60 in revenue. The differential revenue for this alternative is $10.

True

False

.Relevant costs are frequently called avoidable costs.

True

False

Cable Corporation is evaluating two decision alternatives. Alternative One has costs of $1,000 and revenues of $1,500 while Alternative Two has costs of $1,600 and revenues of $2,000. The amount of differential revenue between these alternatives is $500.

True

False

.Only variable costs are relevant for decision making.

True

False

Avoidance of product-level costs can be achieved by eliminating the product line.

True

False

Fixed costs are relevant for decision making if they vary between the alternatives and will occur in the future.

True

False

Sunk costs are not relevant for decision-making purposes.

True

False

The estimated average concentration of NO2 in air in the United States in 2006 was 0.016 ppm.

Calculate the partial pressure of the NO2 in a sample of this air when the atmospheric pressure is 748 torr (99.7 kPa ).

How many molecules of NO2 are present under these conditions at 17 ∘C in a room that measures 16 × 11 × 6 ft ?

In 2006 the State of Indiana in the USA sold a 75-year concession to operate and maintain the East-West Toll Road. Before doing so, it commissioned a consulting report that estimated the value of the concession. Table 1 shows the forecasted cash flow from the toll road.

Calculate the present value of the concession using a discount rate of 6%. Cash flows are reported in Table 1 for each ten-year block up until 2066–2075 with the last block as five years (2076–2081). Assume in your calculations that cash flows are spread evenly during those blocks. Explain your calculations showing for each year the applicable discount rate and for each block the present value.

PS:please calculate in order to see and understand the PV for each block

A 2006 report of the U.S. Surgeon General states that "there is no risk-free level of exposure to secondhand smoke. Nonsmokers exposed to secondhand smoke at home or work increase their risk of developing heart disease by 25 to 30 percent and lung cancer by 20 to 30 percent. The finding is of major public health concern due to the fact that nearly half of all nonsmoking Americans are still regularly exposed to secondhand smoke."

Consider the following data from the U.S. Department of Health and Human Services, National Center for Health Statistics, Third National Health and Nutrition Examination Survey. All values are measured levels of serum cotinine (in ng/ml), a metabolite of nicotine—when nicotine is absorbed by the body, cotinine in produced.

Smokers ETS No ETS

1 164 210 121 384 1 0 1 0 0 0 309

35 250 103 1 4 2 0 74 0 0 0 0

130 173 253 32 0 19 3 13 1 0 1 0

123 289 86 313 0 17 1 197 0 0 0 244

0 198 44 266 0 45 178 1 0 0 0 0

112 245 222 208 0 1 51 1 9 0 0 0

234 265 87 3 3 1 1 1 0 0 0 0

167 227 284 491 551 1 0 3 0 0 0 0

131 17 277 290 69 13 2 0 0 90 0 0

477 48 149 173 543 1 0 241 0 0 0 0

Smokers = subjects reported tobacco use

ETS = nonsmokers exposed to environmental tobacco smoke at home or work

No ETS = nonsmokers with no exposure to environmental tobacco smoke at home or work

Use a Kruskal-Wallis test with a 0.05 significance level to test the claim that the median cotinine levels are not all equal for these three groups. What do the results suggest about secondhand smoke?

Below provides a summary of US current account in the year 2006 (in billions of $)

a) Should the US be concerned about its current account balance? Why or why not? What are the possible reasons for this observation?

b) Will U.S. tariffs help reduce a U.S. balance-of-trade deficit?