Mathematics problem solving

1. (20 points) Supply the missing information in each statement. (1) Twelve sequ

1. (20 points) Supply the missing information in each statement. (1) Twelve sequential data of 256-byte blocks is transmitted. Average number of errors received in this transmissi…

1. (20 points) Supply the missing information in each statement. (1) Twelve sequ

1. (20 points) Supply the missing information in each statement. (1) Twelve sequential data of 256-byte blocks is transmitted. Average number of errors received in this transmissi…

1. (20 points) The discrete random variables X and Y have the joint probability

1. (20 points) The discrete random variables X and Y have the joint probability mass shown below 0 0.08 .(6 points) Find the expected value of X, E0)? (8 points) Find the expected…

1. (20 points) The television show NBC Sunday Night Football broadcasted a game

1. (20 points) The television show NBC Sunday Night Football broadcasted a game between the Colts and Patriots and received a share of 22, meaning that 22% of the TV sets in use w…

1. (20 points) Use Merge Sort to sort the sequence{f,d, c, h, a, i, b, e, g into

1. (20 points) Use Merge Sort to sort the sequence{f,d, c, h, a, i, b, e, g into increasing (alphabetical) order. Show how the list is divided at each level of recursion all the w…

1. (20 pts.) Let Xi, X2, and Xs represent the times (in minutes) necessary to pe

1. (20 pts.) Let Xi, X2, and Xs represent the times (in minutes) necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent, no…

1. (20 pts.) Let Xi, X2, and Xs represent the times (in minutes) necessary to pe

1. (20 pts.) Let Xi, X2, and Xs represent the times (in minutes) necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent, no…

1. (20) Rawdon\'s Leech Farms has a bucket of 1020 leeches, of which 627 are fem

1. (20) Rawdon's Leech Farms has a bucket of 1020 leeches, of which 627 are female leeches and 393 are male leeches. If 50 leeches are chosen at random from the bucket, what 1s th…

1. (23 pts) Chips Ahoy! Chocolate Chip cookies have, on average, about 15 chocol

1. (23 pts) Chips Ahoy! Chocolate Chip cookies have, on average, about 15 chocolate chi cookie!. Compute, as best you can, the following probabilities: a. Write, but you need not …

1. (24) The LP problem whose output follows determines how many necklaces, brace

1. (24) The LP problem whose output follows determines how many necklaces, bracelets, rings, and earrings a jewelry store should stock (measured in stocking units). The objective …

1. (25 points) Establishing the properties of materials is an important problem

1. (25 points) Establishing the properties of materials is an important problem in identifying a suitable substitute for biodegradable materials in the fast food packaging industr…

1. (25 points) For 0, consider the equation Implement the secant method in MATLA

1. (25 points) For 0, consider the equation Implement the secant method in MATLAB (or in any programming language) and find the root of the above equation. Use o0.5, r Tkl 10-10 a…

1. (25 points) Our number system consists of the digits 0, 1,2, 3,4,5,6,7, 8,9.

1. (25 points) Our number system consists of the digits 0, 1,2, 3,4,5,6,7, 8,9. Because such as 12 as 012, the first significant digit in any number accounting records, tax we do …

1. (25 points) Our number system consists of the digits 0, 1,2, 3,4,5,6,7, 8,9.

1. (25 points) Our number system consists of the digits 0, 1,2, 3,4,5,6,7, 8,9. Because such as 12 as 012, the first significant digit in any number accounting records, tax we do …

1. (25 points) The following passage is from the Wikipedia page for the numbers

1. (25 points) The following passage is from the Wikipedia page for the numbers game. The numbers game, also known as the numbers racket, the policy racket, the policy game or the…

1. (25 points) The following passage is from the Wikipedia page for the numbers

1. (25 points) The following passage is from the Wikipedia page for the numbers game. The numbers game, also known as the numbers racket, the policy racket, the policy game or the…

1. (25 pt) True or false: () The original problem has a feasible solution if and

1. (25 pt) True or false: () The original problem has a feasible solution if and only if the optimal value of the auxiliary problem is zero.) (b) The simplex methods terminates as…

1. (25%) Events occur according to a Poisson process with rate lambda = 2 per ho

1. (25%) Events occur according to a Poisson process with rate lambda = 2 per hour. (a) What is the probability that more than 1 but fewer than 5 (i.e., 2, 3 or 4) events occur be…

1. (25) confidence interval and p-value are two fundamental concepts in statisti

1. (25) confidence interval and p-value are two fundamental concepts in statistics. Write a brief explanation for these concepts, state connections and differences, pros and cons,…

1. (25.24) Resistance training is a popular form of conditioning aimed at enhanc

1. (25.24) Resistance training is a popular form of conditioning aimed at enhancing sports performance and is widely used among high school, college, and professional athletes, al…

1. (27 pts) Gi ven the power system below, do the following: BUS 1 BUS 2 BUS 3 D

1. (27 pts) Gi ven the power system below, do the following: BUS 1 BUS 2 BUS 3 DUS 4 BUS 5 Line 2 Line 1 T1 Load G1: 50MVA, 13.8kV G2: 20MVA, 14.4kV T1: 40MVA, A-Y. 13.2.220 kV. X…

1. (27 pts) Gi ven the power system below, do the following: BUS 1 BUS 2 BUS 3 D

1. (27 pts) Gi ven the power system below, do the following: BUS 1 BUS 2 BUS 3 DUS 4 BUS 5 Line 2 Line 1 T1 Load G1: 50MVA, 13.8kV G2: 20MVA, 14.4kV T1: 40MVA, A-Y. 13.2.220 kV. X…

1. (2opts). An Univeristy ATM handles on average 1000 transactions per day with

1. (2opts). An Univeristy ATM handles on average 1000 transactions per day with a variance of 625 transactions. (a) What can be said about the probability that this ATM handles ha…

1. (3 points) A market researcher will ask 200 consumers in a community whether

1. (3 points) A market researcher will ask 200 consumers in a community whether a company's stand on social issues would influence their willingness to buy the company's product. …

1. (3 points) Write the four slopes of the four regression lines from the four s

1. (3 points) Write the four slopes of the four regression lines from the four samples on the "Samples" sheet. Slope 1 = _________ Slope 2 = __________Slope 3 = __________Slope 4=…

1. (3 pts) Give a combinatorial proof of the identity that for all positive inte

1. (3 pts) Give a combinatorial proof of the identity that for all positive integers n, that is, (0)2'4 G)2n-i +--+ (n 1)24 (JS-3". (hint: ternary strings.) 2. (3 pts) Give a comb…

1. (3) 21% of the executives in a firm are at the top salary level. At the firm,

1. (3) 21% of the executives in a firm are at the top salary level. At the firm, 40% of all executives are women. In addition, 6.2% of all executives are women and at the top sala…

1. (30 points) Using the data, the following equation is estimated for the fall

1. (30 points) Using the data, the following equation is estimated for the fall and second semester students: trmgpa 2.12 0.900 crsgpa+0.0018sat 0.0039 hsperc (0.55) (0.175) (0.00…

1. (30 points) Using the data, the following equation is estimated for the fall

1. (30 points) Using the data, the following equation is estimated for the fall and second semester students: trmgpa 2.12 0.900 crsgpa+0.0018sat 0.0039 hsperc (0.55) (0.175) (0.00…

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If t

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If the student randomly selects an answer for each question, find the probability that the student’s sc…

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If t

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If the student randomly selects an answer for each question, find the probability that the student's sc…

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If t

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If the student randomly selects an answer for each question, find the probability that the student’s sc…

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If t

1. (35 pts) A student is going to take a true/false quiz with 25 questions. If the student randomly selects an answer for each question, find the probability that the student's sc…

1. (4 + 3 + 3 pts.) Suppose X has uniform distribution on {0, 1, 2} think of X a

1. (4 + 3 + 3 pts.) Suppose X has uniform distribution on {0, 1, 2} think of X as the number shown when you spin a spinner in which 0, 1,2 are all equally likely. After you spin a…

1. (4 points) For each of the following paris of variables, is there likely to b

1. (4 points) For each of the following paris of variables, is there likely to be a positive association, a negative association, or no association? Briefly explain your reasoning…

1. (4 points) How strongly do physical characteristics of sisters and brothers c

1. (4 points) How strongly do physical characteristics of sisters and brothers correlate? A researcher measue height in inches, x, of the brother and measured the height in inches…

1. (4 points) One scale used to measure depression is the Hamilton rating scale.

1. (4 points) One scale used to measure depression is the Hamilton rating scale. Scores of - 7 are considered to be normal. Scores are skewed right, with a known population standa…

1. (4 points, 0.5 each) You have been observing the local Liberal Party in Ottaw

1. (4 points, 0.5 each) You have been observing the local Liberal Party in Ottawa and have compiled some information about a small sample of party regulars. Identify each variable…

1. (4) Suppose you roll a dice twice. Calculate the probability of the following

1. (4) Suppose you roll a dice twice. Calculate the probability of the following (a) the sum of the dice rolls is 3 or 7. (b) the sum of the dice is greater than 7 and is an odd n…

1. (40 points) A Michigan travel agent wants to examine the relationship between

1. (40 points) A Michigan travel agent wants to examine the relationship between the number of days temperatures exceed 40 degrees in December and the number of subsequent cruise …

1. (40 points) A Michigan travel agent wants to examine the relationship between

1. (40 points) A Michigan travel agent wants to examine the relationship between the number of days temperatures exceed 40 degrees in December and the number of subsequent cruise …

1. (40 points) Suppose the true population model is which satisfies MLR.1-MLR.5.

1. (40 points) Suppose the true population model is which satisfies MLR.1-MLR.5. However, based on a random sample of wage and educ, the data analyst estimates the following model…

1. (40 points) WALKING ALIVE Apps is a small but growing startup that sees deman

1. (40 points) WALKING ALIVE Apps is a small but growing startup that sees demand for several of its apps increase. For the last five months, monthly demands were 24,000; 29,000: …

1. (40 points) WALKING ALIVE Apps is a small but growing startup that sees deman

1. (40 points) WALKING ALIVE Apps is a small but growing startup that sees demand for several of its apps increase. For the last five months, monthly demands were 24,000; 29,000: …

1. (40 pts) A factory produces Xn units of output on day n where the Xn are IID

1. (40 pts) A factory produces Xn units of output on day n where the Xn are IID (i.e., independent and identically distributed RVs) with unknown shape but with mean () = 5 and var…

1. (40 pts) A factory produces Xn units of output on day n where the Xn are IID

1. (40 pts) A factory produces Xn units of output on day n where the Xn are IID (i.e., independent and identically distributed RVs) with unknown shape but with mean () = 5 and var…

1. (45 points total) The partially completed ANOVA table given below is for a tw

1. (45 points total) The partially completed ANOVA table given below is for a two-factor balanced factorial experiment: Source Treatment DF MS 2.25 .95 .90 .30 Interaction Error T…

1. (5 points) An object moves in a straight line and its position is given by a

1. (5 points) An object moves in a straight line and its position is given by a function s(t) where t is the time in seconds and s(t) is the number of meters from its starting poi…

1. (5 pts) Copy the following data (including the text header) into cells C8 to

1. (5 pts) Copy the following data (including the text header) into cells C8 to C23. Then sort cells C8 to C23, ordering the data from highest to lowest with cell C9 containing th…

1. (5 pts) Imagine that the average time on the 100 m. distance among profession

1. (5 pts) Imagine that the average time on the 100 m. distance among professional male sprinters is 11 seconds with a standard deviation of 1.5. For long jumping, the average dis…