Exercise 8.1: Let T₁ < 72 be stopping times. Show that I(71,72] (t) is a simple predictable process.
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- Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Exercise 4.5. Show that gcd (f1,..., f.) = gcd (f1,gcd (f2,. , fs)) for any s > 3.
- Exercise 4.28 Let Zj denote the present value of an n-year term insurance benefit, issued to (x). Let Z denote the present value of a whole of life Express the covariance of Z1 and Z2 in actuarial functions, simplified as far insurance benefit, issued to the same life. as possible.Let y represent the annual income of an individual in 2018. Let z represent the number of days the individual worked in 2018. Let x represent the number of days the individual spent snow skiing in 2018. Let w represent the number of days the individual did not work in 2018. Which of the following models violate A3 (MLR.3)? O y = Bo+B1 + 2 + O y = Bo + B₁x + B₂z+u O y = Bo + Bi +B2 z tu All of the above.Exercise 4.11 Let B - (d ²). 2). Compute B100
- A scientist has measured quantities y, x1,and x,. She believes that y is related to x, and x2 through the equation y = ae+Px2 8, where & is a random error that is always positive. Find a transformation of the data that will enable her to use a linear model to estimate B, and B,.2/18/22, 10:14 AM M2623 Worksheet 6 - Chapter 5(1).html 5. (5.7.4) A UMass Boston student has earned 55 credits toward his degree but has a GPAof just 1.80. The registrar has informed him that he is on probation and will be suspended unless his overall GPA is at least 2.0 after one more semester. a. If he takes 12 credits, what is the minimum GPA he must earn in that semester to avoid being suspended? b. Answer the same question if he takes 9 credits. c. What if he took just 6 credits? d. Write a few sentences describing what these situations mean. file J/C:/Users/belliott/Downloads/M2623 Worksheet 6 - Chapter 5(1).htmlPlease solve E-G and show all work, thank you!!
- Exercise 2. [1, 2.4.10] Show that VaVyPayF VyaPyxlecture(12.11A): Researchers were interested in the effects of co-sleeping on nightime waking and crying in infants. .They assesed the number of minutes parents reported that their infants were awake and crying for a period of three days. Five of the infants co-slept with thier mothers(Co) and four infants slept in crib(Cr).The researchers wanted to see if there was a difference in the total number of minutes of crying during the 3 nights. for the two groups. A summary of the data is given below Co-sleepers night time crying in minutes: 8, 4, 7, 7, 6 Crib-sleepers night time crying in minutes: 30, 17, 22, 25 Test the hypotheses at (aplha=.05) level of signifcance. using the 5 step hypotheses testing procedure. Clealy state the null and alternative hypotheses. Round your answer to 2 decimal places.Test the claim that 73% of women shoppers remained loyal to their favorite supermarket in the last year. In a random sample of 610 women shoppers, 417 remained loyal to their favorite supermarket last year. Use α=0.01.