Question:

1.A fair coin is flipped 14 times. Find the probability that more than 7 of the flips turn up tails.

2.3.25 Underage drinking, Part I:Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in 2008.

(a) Suppose a random sample of ten 18-20 year olds is taken. Is the use of the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages?

Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome

No, the normal distribution should be used

No, the trials are not independent

No, this follows the bimodal distribution

(b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink.

(please round to four decimal places)

(c) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic beverage?(please round to four decimal places)

(d) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages?

(please round to four decimal places)

(e) What is the probability that at least 1 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages?

(please round to four decimal places)

3.2.38 Baggage fees:An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have only one piece of checked luggage and 12% have two pieces. We suppose a negligible portion of people check more than two bags.

a) The average baggage-related revenue per passenger is: $(please round to the nearest cent)

b) The standard deviation of baggage-related revenue is: $(please round to the nearest cent)

c) About how much revenue should the airline expect for a flight of 120 passengers? $(please round to the nearest dollar)

Determine the category of financial benefits or costs for each scenario given in the following table. The category available: tangible benefit, intangible benefit. one-time-cost, and recurring cost. Reminder: Please separate each answer into a different line and include relevant label in front of your answer Example: a. Intangible benefit b. Intangible benefit C. Intangible benefit d. Intangible benefit No. Scenario Category Example Increased organizational flexibility Intangible benefit A. New hardware and software purchases b. Application software maintenance C. Cost and error reduction d. Faster decision makingii 2 U {20'} 3. For the. matrix A = 2 3 1 l 2 1 a.) Find all eigenvalues of the matrix. h.) Find all eigenvactors of the matrix. a.) is the matrix diagonaiizabla'.' If at}! state a matrix 1.\" and a diagonal matrix D for which 1312113 = D. w Question Completion Status: Question 14 3 points The following image is the output obtained from Excel- Megastat. Study this image and then answer the questions that follow. al Write the name of the probability distribution that produces this output? by What is the value of PAC12017 c) What does the colored area in the chart represent? (Your answer must be brief, but dear.)Utilitarianism is: A theory from moral philosophy that argues that an act is right if it serves to maximize the attainment of human satisfaction. OA theory from moral philosophy that argues that profit and financial well-being are important parts of evaluating an ethical situation and should not be ignored or dismissed. A theory from moral philosophy that argues that we should always choose the action that will best benefit us as individuals Question 4 2.5 pts The author, Kelman, analyzes cost-benefit analysis through the lens of ethical theory. He argues for three conclusions. Which of the following IS NOT one of Kelman's conclusions? O In areas of environmental, safety. and health regulation, there may be many instances where a certain decision might be right even though its benefits do not outweigh its costs. Of Given the reasons why it is problematic to monetize non-marketed benefits or costs that is a prerequisite for cost-benefit analysis, it is not justifiable to devote major resources to the generation of data for cost-benefit calculations or to undertake efforts to further promote cost-benefit analysis. Getting decision-makers to make more use of cost-benght techniques is important enough to warrant both the expense required to gather the data for improved cost-benefit estimation and the political efforts needed to give the activity higher priority compared to other activities, (): There are good reasons to oppose efforts to put dollar values on on-marketed benefits and costs