Fiction Cruiseline offers three ways to exercise on their cruise ships. 73 of the 86 passengers participated in at least one method of exercise. 36 people went rock climbing, 44 people went ice skating, and 19 went to the fitness center. 14 people went rock climbing and ice skating, 11 people went rock climbing and to the fitness center, and 9 people went ice skating and to the fitness center. Draw a Venn Diagram for the three sets if necessary. Include how you found the number of ALL three activities.

Calculate the probability for:

A randomly selected passenger did not go ice skating, given they did at least two activities

42.(Extra credit) Which of the following is largest?
A. The number of bones in the adult pelvis
B. The number of bones in the right upper appendage
C. The number of bones in the skull (not counting accessory bones) D. The number of bones in the vertebral column
E. The number of true ribs

43.List all of the types of motion possible for the shoulder (glenohumeral) joint.

44.List four types of connective tissue proper.

45.What is the anatomical definition of a membrane (with reference to tissues, not cells)? Give two examples of membranes in the body.

47.Which four layers are typically found in the epidermis layer of thin skin? Describe one thing about each layer.

Suppose the quality control person of a local brewery wants to take a sample of 40 bottles to check the gravity of the beer.

For each of the following, fill in the blank with the sampling method used.

Randomly choosing two boxes (20 bottles each) and testing each bottle. _______________

Label every bottle and randomly pick 40 from the list. _____________________

Test 10 random bottles from each of the four batches of beer. __________________

Randomly choose 8 boxes (20 bottles each) and randomly test 5 bottles from each box. ______________

With 1000 total bottles in production line test every 50th bottle. _____________________

Question 1
Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line?
   Yes, the probability of five or less having straight stitching is unusual
   No, the probability of five or less having straight stitching is not unusual
   No, the probability of exactly five have straight stitching is not unusual
   Yes, the probability of exactly five having straight stitching is unusual
  
Question 2

A soup company puts 12 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled?
   n=36, p=0.97, x=36
   n=36, p=0.97, x=1
   n=12, p=0.36, x=97
   n=12, p=0.97, x=0

Question 3

A supplier must create metal rods that are 2.3 inches width to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are the correct width or an incorrect width?
   No, as the probability of being about right could be different for each rod selected
   Yes, all production line quality questions are answered with binomial experiments
   No, as there are three possible outcomes, rather than two possible outcomes
   Yes, as each rod measured would have two outcomes: correct or incorrect
  
Question 4

In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment?
   No, binomial does not include systematic selection such as “fifth”
   No, the probability of getting the broken pen changes as there is no replacement
   Yes, you are finding the probability of exactly 5 not being broken
   Yes, with replacement, the probability of getting the one that does not work is the same
  
Question 5

Sixty-eight percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?
   Fewer than 8
   Fewer than 9
   Fewer than 11
   Fewer than 10
  
Question 6

The probability of a potential employee passing a drug test is 86%. If you selected 12 potential employees and gave them a drug test, how many would you expect to pass the test?
   8 employees
   9 employees
   10 employees
   11 employees
  
Question 7

The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that 12 or less will pass the test?
   0.862
   0.148
   0.100
   0.852
  
Question 8
Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the probability that fewer than 3 would be defective?
   0.975
   0.916
   0.768
   0.037

Q1 ) A 1000$ , 6% annual coupon treasury bond that is quoted in the newspaper at 103:5 Ask, coupon interest is paid semi-annually , it has been 130 days since the last coupon payment, half year is 182.5 days , find :

a) What is the accrued interest on the bond on the bond ?

b) If you are to buy the bond , what is the invoice price, how much would you pay for the bonds in other word ?

Q2 ) The Sami’s firm common stock most recent dividends were 2$ per share, dividends are to grow at 8% a year for 3 years (2016,2017,2018) , at the end of year 2018, dividends are to grow at 5% for the foreseeable future , required rate of return is 15% .

What is the shares true value now and that is at the beginning of year 2016 ?

As a fringe benefit for the past 8 years, Colin's employer has contributed $50 at the end of each month into an employee retirement account for Colin that pays interest at the rate of 8%/year compounded monthly. Colin has also contributed $2,000 at the end of each of the last 4 years into an IRA that pays interest at the rate of 10%/year compounded yearly. How much does Colin have in his retirement fund at this time? ​

a. $15,975.43

b. $9,282.00

c. $6,693.43

d. $9,813.83

Supplier on-time delivery performance is critical to enabling the buyer's organization to meet its customer service commitments. Therefore, monitoring supplier delivery times is critical. Based on a great deal of historical data, a manufacturer of personal computers finds for one of its just-in-time suppliers that the delivery times are well approximated by the normal distribution with mean 47.7 minutes and standard deviation 14.5 minutes. A random sample of 8 deliveries is selected.

Round all probabilities to four decimal places and times to two decimal places.

a) What is the probability that a particular delivery will arrive in less than one hour?  

b) What is the probability that the mean time of 8 deliveries will exceed one hour?  

c) Between what two times do the middle 60% of the average delivery times fall?  and

d) What is the probability that, in a random sample of 8 deliveries, more than three will arrive in less than an hour?  

Company CDE generated cash flows of $2.00 per share last year. CDE’s cost of capital 12%. Growth is expected to be 12% in year one, 11% in year two, 10% in year three, then decline to 6% over the next four years, and then continue at 6%. estimate the value per share. PLEASE SHOW YOUR WORK

last year you purchased a 10 year semi-annual coupon bond with coupon rate of 12% and face value of $1000. the bonds yield to maturity was 11% then. a year past and the market interest rate increases by 1 percentage point. your one-year holding period return is____% (rounded with two decimal places)

A firm has basic earnings per share of $1.90. If the tax rate is 30%, which of the following securities would be dilutive? (Circle the best answer.) a. Convertible 5% bonds, issued at par, with each $1,000 bond convertible into 20 shares of common stock. b. Convertible 6% bonds, issued at par, with each $1,000 bond convertible into 20 shares of common stock. c. Cumulative convertible 4%, $100 par, preferred stock, issued at par, with each preferred share convertible into two shares of common stock. d. Cumulative convertible 3%, $100 par, preferred stock, issued at par, with each preferred share convertible into one share of common stock. e. Cumulative 7%, $50 par preferred stock.