Question
5. (16 points) Variations in the density in air can be measured by shining a laser...
5. (16 points) Variations in the density in air can be measured by shining a laser beam at a target on a surface. The square of the distance from the target satisfy a x distribution with density Jx(x) = -1/2-1/2-1/(20), 10. Here o >O is the standard deviation of the distance from the target of the image of the laser (a) Give the likelihood L(1, 29, 83, 84) based on four independent measurements 11,12,3,1, having the x? distribution above. (b) Find the maximum likelihood estimate ô for o. (c) Determine & for 1 = 0.091, x2 = 0.087, 63 = 0.094, and 14 = 0.106 square millimeters.
Answers
Ansrer e ajo I) (a) Let, x,, X2, X3, X, one iis observations from the chinsonored distribution with put fx (x1) -112-112 -|(20) (osa So, the likelihood functionis, Lolx,,..,xn) f(xilo) 5 h 2 xi) ze 6(b) The log-lhelihood function is given by 1(012) -logt (ory) -2 logo Lino (50) n Is xi 12) Exi a) al(012) 121 is the solution of So, the MLE of dlo14) 2 2) 12 (C) If, x, = 0,091, 0.087, xz = 0.09h, Xy= 0.106, 2 – MIE(o)= 0.0945
Similar Solved Questions
1 answers
Creative Computing sells a tablet computer called the Protab. The $970 sales price of a Protab...
Creative Computing sells a tablet computer called the Protab. The $970 sales price of a Protab Package includes the following: • One Protab computer. • A 6-month limited warranty. This warranty guarantees that Creative will cover any costs that arise due to repairs or replacements associat...
1 answers
The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway
The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 720 feet of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing. a) Express the length of the remaining...
1 answers
Problem 9-23 Flexible Budgets and Spending Variances [LO9-1, LO9-2] You have just been hired by FAB...
Problem 9-23 Flexible Budgets and Spending Variances [LO9-1, LO9-2] You have just been hired by FAB Corporation, the manufacturer of a revolutionary new garage door opening device. The president has asked that you review the company’s costing system and “do what you can to help us get be...
1 answers
According to a Gallup poll, more than half of all Americans drink at least one glass...
According to a Gallup poll, more than half of all Americans drink at least one glass of soda per day. Suppose X is a random variable that represents the number of glasses of soda that a randomly selected American drinks each day. The probability distribution for X is given: X 0 1 2 3 4 P(X=x) ....
1 answers
Pls, give a minimum of 400 words or more for your answer. And must be well-composed...
Pls, give a minimum of 400 words or more for your answer. And must be well-composed sentences and well paragraphed. Describe government and non-government efforts to prevent and control the misuse and abuse of alcohol, tobacco, and other drugs....
1 answers
High KickHigh Kick Games, Inc. is a new corporation started on January 1,2018 The following transactions...
High KickHigh Kick Games, Inc. is a new corporation started on January 1,2018 The following transactions occurred during the first year of operations. a. On January 1, the owners invested a total of $ 49,000.00 (the par value of the stock) to start the company. In&#...
1 answers
Dr 1. (3 points) If z2 = x² + y², with dy dz = 2 and...
dr 1. (3 points) If z2 = x² + y², with dy dz = 2 and dt dt -3, find dt when x = 8 and y = 15. dz Solve for dt What values are give and what values do you still need to determine? 2. (2 points) The volume of an inverted right cone whose height radius at 6 feet is 4 feet, is given by the for...
1 answers
This is statistics question. Please help me. A state's standardized physical education exam indicate that students...
This is statistics question. Please help me. A state's standardized physical education exam indicate that students average Mx = 10 push up s with a standard deviation of ox = 3. A school thinks that their students are better than this. They collect a random sample of n = 25 PE students and calc...
1 answers
Consider a potential well, whose potential is given by (a) Evaluate the reflection and transmission coefficient...
Consider a potential well, whose potential is given by (a) Evaluate the reflection and transmission coefficient for the case E > 0. (b) Use your result for the transmission coefficient obtained in (a) above, to evaluate the transmission coefficient for the potential barrier, (V0 >...
1 answers
What key features characterised the first land plants, allowing them to survive in a terrestrial environment?...
What key features characterised the first land plants, allowing them to survive in a terrestrial environment? In what order (first to last) did seeds, vascular tissue, stomata and carpels evolve in early land plants?...
1 answers
I know how to do the question, but at the very end, how do you know...
I know how to do the question, but at the very end, how do you know if it's a buffer or not? What is the formula or rule to tell if something is a buffer or not? UBC Chem 123 Acid-Base Examples 20: Calculate the pH if 10.0 mL of 0.020 M benzoic acid is added to 40.0 mL of 0.004 M sodium benz...
1 answers
The stability of tRNAs and rRNAs are generally much greater than that of mRNAs, and thus...
The stability of tRNAs and rRNAs are generally much greater than that of mRNAs, and thus have a longer life in the cell. How is this possible?...
1 answers
Question 7 1 pts To calculate the power of a statistical test, which of the following...
Question 7 1 pts To calculate the power of a statistical test, which of the following conditions MUST be met? O Atwo-sided alternative hypothesis must be used The standard deviation of the population data must be the same as the standard error of the sample data O None are correct O Both the populat...
1 answers
Lacul Assignment Gradebook ORION Downloadable eTextbook 2001/ 2101) ignment CALCULATOR s FULL SCREEN PRINTER VERSION 4...
lacul Assignment Gradebook ORION Downloadable eTextbook 2001/ 2101) ignment CALCULATOR s FULL SCREEN PRINTER VERSION 4 BACK NEXT. Brief Exercise 15-02 During January, its first month of operations, Coronado Company accumulated the following manufacturing costs: raw materials $5,400 on account, facto...
1 answers
Excuse the order of the pictures. Johnstone Company is facing several decisions regarding investing and financing...
Excuse the order of the pictures. Johnstone Company is facing several decisions regarding investing and financing activities. Address each decision independently. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1. On June 30...
1 answers
Three point charges are located at the corners of an equilateral triangle as in the figure...
Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 1.3s pc charge. (Let A-1.35 pc, B 7.20 pc, and C-_4.38 C) 0.500 m 60.0 magnitude direction below the x-ams...
1 answers
QUESTION1 Supply Demand Quantity Using the diagram above, if a price ceiling was introduced at Pt...
QUESTION1 Supply Demand Quantity Using the diagram above, if a price ceiling was introduced at Pt then producer surplus would be O VFB O XUGE P*UX...
1 answers
After examining a client, you make the following notation: increased respiratory rate, chest expansion decreased on lef...
After examining a client, you make the following notation: increased respiratory rate, chest expansion decreased on left side, dull to percussion over left lower lobe, breath sounds louder with fine crackles over left lower lobe. These findings are most consistent with: 1.Bronchitis 2.Asthma 3.Pleur...