The following table shows the record of the weight of all boxes in an EMS delivery truck.

a) If you randomly select 8 boxes from this truck without replacing the box after each pick, what is the probability that at least 6 of them are 10 pounds or lighter?

b) If you randomly select 8 boxes from this truck with replacing the box after each pick, what is the probability that at least 6 of them are 10 pounds or lighter?

As you showed on the last exam, an experiment at U of Arkansas a couple of years ago showed that the genes for CHF and RA are linked by a distance of 10.2 cM in pigs. In order to test the linkage relationship obtained by the U of Arkansas team, a U of Missouri biology team repeated the experiment making exactly the same cross, but using independently obtained pigs.

Healthy pigs: 255

CHF: 40

RA: 44

Both CHF & RA: 261

Total: 600

Conduct a chi2 test to ascertain if there is sufficient grounds for the Missouri team to reject the Arkansas linkage value. Hint: For your expected values, use the linkage estimate provided by the Arkansas researchers to calculate what the Missouri team would have expected in their experiment. Be sure to show how you calculated your X2 value, your d.f., p-value, and conclusion from your test. For expected values use to 1 decimal, for X2 values use to 2 decimals. If you reject the Arkansas hypothesis, propose an alternative explanation

Suppose jobs vary along two dimensions: wages and noise and that all workers dislike noise but vary in their distaste for it. Assume that the combinations of wages and noise for which firms’ profits are zero are given by the equation W = 5 + .1N (for 0?N?100) where W is the wage in dollars per hour and N is the noise the worker is subjected to, in decibels. Also, assume at the jobsite of any firm that spends nothing on noise reduction N = 100. a. Draw the offer curve. b. Assume two employed workers, Manny and Moe. Assume that at Moe’s jobsite workers are subject to 50 decibels of noise and at Manny’s workers are subject to 75 decibels. Draw one indifference curve for Manny and another for Moe, representing their respective utilities at their respective jobs. What are these workers’ wages? c. Which worker has a greater willingness to pay for a one decibel reduction in noise at the wage-decibel combination of $10 and 50 decibels? d. At their current wages and levels of noise, how much wage is Manny willing to give up to reduce noise by one decibel? How much wage is Moe willing to give up to reduce noise by one decibel? e. Suppose OSHA sets a cap of 50 decibels at all jobsites. How does this cap affect Manny’s and Moe’s employment choices? How does the cap affect Manny’s and Moe’s well-being? f. Assume again no OSHA and no cap. Suppose it becomes costless for firms to reduce or eliminate noise. What does the new offer curve look
2
like? What would be the new combinations of wage and noise chosen by Manny and Moe? Are they better off at these new combinations of wage and noise? Are their employers better off?

solve using r if coding is required

The data in air-pollution.txt are 42 measurements on air-pollution variables recorded at noon in the Los Angeles area on different days.

Variables: X₁ = Wind, X₂ = Solar radiation, X₃ = Carbon monoxide, X₄ = Nitric oxide, X₅ = Nitrogen dioxide, X₆ = Ozone, and X₇ = Hydrocarbon content.

(a) Evaluate the sample mean vector x.

(b) Evaluate the sample variance-covariance matrix, S, and its inverse, S−1.

(c) Evaluate the sample correlation matrix R. Interpret the pairwise correlations. Also con- struct a scatterplot matrix (a matrix of scatter plots) for these data

(d) Construct a normal quantile plot (Q-Q plot) for the solar radiation measurements (X2) and carry out a test for normality using the Shapiro-Wilk test. Does the data appear to be normally distributed? Explain.

data is

Wind Radiation CO NO NO2 O3 HC
  8  98  7  2  12  8  2
  7  107  4  3  9  5  3
  7  103  4  3  5  6  3
  10  88  5  2  8  15  4
  6  91  4  2  8  10  3
  8  90  5  2  12  12  4
  9  84  7  4  12  15  5
  5  72  6  4  21  14  4
  7  82  5  1  11  11  3
  8  64  5  2  13  9  4
  6  71  5  4  10  3  3
  6  91  4  2  12  7  3
  7  72  7  4  18  10  3
  10  70  4  2  11  7  3
  10  72  4  1  8  10  3
  9  77  4  1  9  10  3
  8  76  4  1  7  7  3
  8  71  5  3  16  4  4
  9  67  4  2  13  2  3
  9  69  3  3  9  5  3
  10  62  5  3  14  4  4
  9  88  4  2  7  6  3
  8  80  4  2  13  11  4
  5  30  3  3  5  2  3
  6  83  5  1  10  23  4
  8  84  3  2  7  6  3
  6  78  4  2  11  11  3
  8  79  2  1  7  10  3
  6  62  4  3  9  8  3
  10  37  3  1  7  2  3
  8  71  4  1  10  7  3
  7  52  4  1  12  8  4
  5  48  6  5  8  4  3
  6  75  4  1  10  24  3
  10  35  4  1  6  9  2
  8  85  4  1  9  10  2
  5  86  3  1  6  12  2
  5  86  7  2  13  18  2
  7  79  7  4  9  25  3
  7  79  5  2  8  6  2
  6  68  6  2  11  14  3
  8  40  4  3  6  5  2

Prime Co. produces two products, A and B. The unit revenues are $2 and $3, respectively. Two
raw materials, M1 and M2, used in the manufacture of the two products have daily availabilities
of 8 and 18 units, respectively. One unit of A uses 2 units of M1 and 2 units of M2, while one
unit of B uses 3 units of M1 and 6 units of M2.
(a) Using simplex method, determine the dual prices of M1 and M2 and their feasibility ranges.
(b) Suppose that 2 additional units of M1 can be acquired at the cost of 25 cents per unit.
Would you recommend the additional purchase? Justify your answer.
(c) Due to a change in people’s preferences, the unit revenue of A changes to $(2 + ?).
Determine the optimality range for ? so that the optimum solution stays the same.

show the steps please

A 67-year-old man presents to your office with worsening cough, sputum production, and shortness of
breath. He is a smoker for the past 50 years. He is known to have Chronic Obstructive Pulmonary
Diseases (COPD). He was in his usual state of health until one week ago until he got a common cold and
since then he has a hacking cough and increased sputum production. this is all information I have

1. What are the two major clinical disorders/diseases are classified as Chronic Obstructive
Pulmonary -Diseases? How do they differ?

2. Which one of the two syndromes above is more predominant in this patient? What is the
predisposing factors for the syndrome from the scenario?

3. Asthma is considered one of the obstructive disease of pulmonary diseases, explain the
pathological mechanism that is responsible for asthma that causes the asthma attack.

can you solve it not on paper to be easy for me

Sales Mix and Break-Even Sales

Dragon Sports Inc. manufactures and sells two products, baseball bats and baseball gloves. The fixed costs are $318,000, and the sales mix is 60% bats and 40% gloves. The unit selling price and the unit variable cost for each product are as follows:

a. Compute the break-even sales (units) for the overall enterprise product, E.
units

b. How many units of each product, baseball bats and baseball gloves, would be sold at the break-even point?

A Markov process has three states that describe an environment for a shuttle service: state 1 = driving in the city, state 2 = driving in the suburbs, state 3 = driving in the rural area. If the shuttle driver is driving in the city, there is a 50% chance the next passenger pickup assignment will also be in the city. If the shuttle driver is driving in the suburbs, there is a 40% chance the next passenger pickup assignment will be in the suburbs. If the shuttle driver is driving in the rural area, there is a 20% chance the next passenger pickup assignment will also be in the country. Anytime there is a switch from the driving environment, it is equally likely to be either of the two environments. If the shuttle driver starts in the city, what is the probability that the tenth passenger pickup will be in the rural area?

Consider the following two projects:

Assume that projects A and B are mutually exclusive. The correct investment decision and the best rational for that decision is to:

Group of answer choices

a.invest in project A since NPVB < NPVA.

b.invest in project B since IRRB > IRRA.

c.invest in project B since NPVB > NPVA.

d. invest in project A since NPVA > 0

Suppose you are the manager of a theatre company. You have identified two groups of customers. Group 1 has a demand given by Q 1 = 100 - P and Group 2 has a demand given by Q 2 = 120 -3P. You are currently charging the same price - 40 euros - to both groups. To maximize revenue, you should charge a price of

(a) 12.50 euros to group 1 and 20 euros to group 2

(b) 50 euros to group 1 and 20 euros to group 2

(c) 30 euros to group 1 and 20 euros to group 2

(d) 25 euros to group 1 and 60 euros to group 2