Probability and Statistics

The following table gives information on the calorie count and grams of fat for the11types of bagels produced by Panera Bread. Bagel Calories Fat (grams) Asiago Cheese 330 5.0 Blueberry 330 2.2 Chocolate Chip 370 5.8 Cinnamon Crunch 430 8.0 Cinnamon Swirl & Raisin 320 1.5 Everything 300 2.9 French Toast 350 5.6 Jalapeno & …

The following table gives information on the calorie count and grams of fat for the11types of bagels produced by Panera Bread.a. Find the least squares regression line with calories as the dependent variable and fat content as the independent variable.Round your answers to three decimal places. Read More »

b) Consider an ascendingly sorted circular doubly-linked list. Given a pointer called “Head” that points to the header of the doubly-linked list, what is the asymptotic complexity of the following functions.: (total 4 marks: 1 mark each) [Hint: your answer should be supported with explanation]1) Finding the largest element in the list?2) Determining whether a …

b) Consider an ascendingly sorted circular doubly-linked list. Given a pointer called “Head” that points to the header of the doubly-linked list, what is the asymptotic complexity of the following functions.: (total 4 marks: 1 mark each) [Hint: your answer should be supported with explanation]1) Finding the largest element in the list?2) Determining whether a given element “X” appears inthe list or not?3) Finding the median element in the list?4) Deleting a given element e in the list (not including thecost of finding it)?Head X1 b) Consider an ascendingly sorted circular doubly-linked list. Given a pointer called “Head” that points to the header of the doubly-linked list, what is the asymptotic complexity of the following functions.: (total 4 marks: 1 mark each) [Hint: your answer should be supported with explanation] 1) Finding the largest element in the list? 2) Determining whether a given element “X” appears in the list or not? 3) Finding the median element in the list? 4) Deleting a given element e in the list (not including the cost of finding it)? 11 XS X2 II X3 X4 Read More »

it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, …

it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, the probability of being late is reduced to 1/8 if it is not rainy and there is no heavy traffic. In other situations (rainy and no traffic, not rainy and traffic) the probability of being late is 0.25. You pick a random day.IMPORTANT: Use both tree diagram and application of chain rule to show your result. What is the probability that it’s not raining and there is heavy traffic and I am not late? Read More »

In my friend’s town (not Vancouver), it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with …

In my friend’s town (not Vancouver), it’s rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it’s rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, the probability of being late is reduced to 1/8 if it is not rainy and there is no heavy traffic. In other situations (rainy and no traffic, not rainy and traffic) the probability of being late is 0.25. You pick a random day.a) What is the probability that it’s not raining and there is heavy traffic and I am not late? Use both tree diagram and application of chain rule to show your result.b) What is the probability that I am late? Use both tree diagram and the law of total probability to show your result.c) Given that I arrived late at work, what is the probability that it rained that day? Read More »

EXPERT ANSWER

The following gave the starting salary for stundents who recently graduated from a local university and accepted jobs soon after graduation. The starting salary, GPA, and major are provided. Salary ($) GPA MAJOR 32,500 2.9 other 41,500 3.5 Business 37,800 3.8 business 36,500 2.9 other 44,000 3.6 Business 31,500 2.1 other 36,200 2.6 business 33,200 …

The following gave the starting salary for stundents who recently graduated from a local university and accepted jobs soon after graduation. The starting salary, GPA, and major are provided. Salary ($) GPA MAJOR 32,500 2.9 other 41,500 3.5 Business 37,800 3.8 business 36,500 2.9 other 44,000 3.6 Business 31,500 2.1 other 36,200 2.6 business 33,200 3.1 other 41,200 3.1 business 37,200 3.5 other 38,700 3.2 other 45,000 3.8 busines a. Using a computer develop a regression model that could be used to predict starting salary based on GPA and major. Please write down the regression equation ( and advise what excel functions to use) b.use this model to predict the starting salary for a business majorwith GPA of 3.6? c. what does the model say about the starting salary for a business major compared to a non business major? d. Do you belive this model is udeful in predicting the starting salary? Justify your answer using info provided by computer output. Read More »

EXPERT ANSWER

EXPERT ANSWER Given X~Binomial(n=50, p=120/1000=0.12)P(X=x)=xC50*(0.12^x)*(0.88^(50-x)) a. So the probability isP(X>=1)=1-P(X=0)=1-0.88^50=0.9983245

What is the utility of exponential chi-square and F-square statistical distribution? Which one is superior in dealing with business and economic application? Discuss throughly and explain using appropriate business/ economic examples. EXPERT ANSWER