WebAssign Printed Access Card for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th Edition, Single-Term
12th Edition
ISBN: 9781337652766
Author: Soo T. Tan
Publisher: Cengage Learning
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Chapter 1.5, Problem 20E
To determine
a)
The equation of the least-squares line for the data.
To determine
b)
The average rate of the classes of the Los Angeles Unified School District for the period.
To determine
c)
The graduation rate for the class of
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Chapter 1 Solutions
WebAssign Printed Access Card for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th Edition, Single-Term
Ch. 1.1 - What can you say about the signs of a and b if the...Ch. 1.1 - Refer to the accompanying figure. a. Given the...Ch. 1.1 - In Exercises 16, refer to the accompanying figure...Ch. 1.1 - In Exercises 16, refer to the accompanying figure...Ch. 1.1 - In Exercises 16, refer to the accompanying figure...Ch. 1.1 - In Exercises 16, refer to the accompanying figure...Ch. 1.1 - In Exercises 16, refer to the accompanying figure...Ch. 1.1 - In Exercises 16, refer to the accompanying figure...Ch. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 8E
Ch. 1.1 - Prob. 9ECh. 1.1 - Prob. 10ECh. 1.1 - Prob. 11ECh. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - In Exercises 1320, plot the point on a set of...Ch. 1.1 - In Exercises 1320, plot the point on a set of...Ch. 1.1 - In Exercises 1320, plot the point on a set of...Ch. 1.1 - In Exercises 1320, plot the point on a set of...Ch. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - Find the coordinates of the points that are 10...Ch. 1.1 - Find the coordinates of the points that are 5...Ch. 1.1 - Show that the points (3,4), (3,7), (6,1) and (0,2)...Ch. 1.1 - Show that the triangle with vertices (5,2), (2,5),...Ch. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - TRACKING A CRIMINAL WITH GPS After obtaining a...Ch. 1.1 - PLANNING A GRAND TOUR A grand tour of four cities...Ch. 1.1 - WILL YOU INCUR A DELIVERY CHARGE? A furniture...Ch. 1.1 - OPTIMIZING TRAVEL TIME Towns A, B, C, and D are...Ch. 1.1 - Prob. 39ECh. 1.1 - MINIMIZING SHIPPING COSTS FOR A FLEET OF AUTOS...Ch. 1.1 - COST OF LAYING CABLE In the accompanying diagram,...Ch. 1.1 - PURCHASING AN HDTV ANTENNA Will Barclay wishes to...Ch. 1.1 - DISTANCE BETWEEN TWO CRUISE SHIPS Two cruise ships...Ch. 1.1 - DISTANCE BETWEEN TWO CARGO SHIPS Sailing north at...Ch. 1.1 - WATHING A ROCKET LAUNCH At a distance of 4000 ft...Ch. 1.1 - a. Show that the midpoint of the line segment...Ch. 1.1 - A SCAVENGER HUNT A tree is located 20 yd to the...Ch. 1.1 - Prob. 48ECh. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - Let (x1,y1) and (x2,y2) be two points lying in the...Ch. 1.1 - In the Cartesian coordinate system, the two axes...Ch. 1.2 - What is the slope of a nonvertical line? What can...Ch. 1.2 - Give a point-slope form, b the slope-intercept...Ch. 1.2 - Prob. 3CQCh. 1.2 - Prob. 4CQCh. 1.2 - Prob. 1ECh. 1.2 - In Exercises 14, find the slope of the line shown...Ch. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - For Exercises 510, find the slope of the line that...Ch. 1.2 - For Exercises 510, find the slope of the line that...Ch. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - In Exercise 5-10, find the slope of the line that...Ch. 1.2 - Given the equation y=2x3, answer the following...Ch. 1.2 - Given the equation 2x+3y=4, answer the following...Ch. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - In Exercises 19 and 20, determine whether the...Ch. 1.2 - In Exercises 19 and 20, determine whether the...Ch. 1.2 - If the line passing through the points (1,a) and...Ch. 1.2 - If the line passing through the points (a,1) and...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - Prob. 26ECh. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 28ECh. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 30ECh. 1.2 - In Exercises 31 and 32, determine whether the...Ch. 1.2 - Prob. 32ECh. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 34ECh. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 36ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 38ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 40ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 42ECh. 1.2 - Find an equation of the horizontal line that...Ch. 1.2 - Find an equation of the vertical line that passes...Ch. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - Prob. 46ECh. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - 2 and passes through the midpoint of the line...Ch. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - In Exercises 5156, find an equation of the line...Ch. 1.2 - Prob. 52ECh. 1.2 - In Exercises 5156, find an equation of the line...Ch. 1.2 - Prob. 54ECh. 1.2 - In Exercises 51-56, find an equation of the line...Ch. 1.2 - Prob. 56ECh. 1.2 - Given that the point P(3,5) lies on the line...Ch. 1.2 - Prob. 58ECh. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 60ECh. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - John claims that the following points lie on a...Ch. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - NUCLEAR PLANT UTILIZATION The United States is not...Ch. 1.2 - SOCIAL SECURITY CONTRIBUTIONS For wages less than...Ch. 1.2 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.2 - WEIGHT OF WHALES The equation W=3.51L192,...Ch. 1.2 - 79 Commission and the passage of equal-pay laws,...Ch. 1.2 - DECLINING NUMBER OF PAY PHONES As cell phones...Ch. 1.2 - SPENDING ON EQUIPMENT AND SOFTWARE As the United...Ch. 1.2 - IDEAL HEIGHTS AND WEIGHTS FOR WOMEN The Venus...Ch. 1.2 - COST OF A COMMODITY A manufacturer obtained the...Ch. 1.2 - CORPORATE FRAUD The number of pending corporate...Ch. 1.2 - SALES GROWTH Metro Department Stores annual sales...Ch. 1.2 - SOCIAL MEDIA A Nielsen survey of 3000 American...Ch. 1.2 - Is there a difference between the statements "The...Ch. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.2 - Prob. 91ECh. 1.2 - Prob. 92ECh. 1.2 - Prob. 93ECh. 1.2 - Prob. 94ECh. 1.2 - Prob. 95ECh. 1.2 - Prove that if a line L1 with slope m1 is...Ch. 1.2 - Prob. 1TECh. 1.2 - Prob. 2TECh. 1.2 - Prob. 3TECh. 1.2 - Prob. 4TECh. 1.2 - Prob. 5TECh. 1.2 - Prob. 6TECh. 1.2 - Prob. 7TECh. 1.2 - Prob. 8TECh. 1.2 - Prob. 9TECh. 1.2 - Prob. 10TECh. 1.2 - Prob. 11TECh. 1.2 - Prob. 12TECh. 1.3 - a. What is a function? Give an example. b. What is...Ch. 1.3 - What is the general form of a linear cost...Ch. 1.3 - Is the slope of a linear demand curve positive or...Ch. 1.3 - The value of an investment in dollars after t...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - Find the constants m and b in the linear function...Ch. 1.3 - Find the constants m and b in the linear function...Ch. 1.3 - A manufacturer has a monthly fixed cost of 40,000...Ch. 1.3 - A manufacturer has a monthly fixed cost of 10,000...Ch. 1.3 - LINEAR DEPRECIATION OF AN OFFICE BUILDING An...Ch. 1.3 - LINEAR DEPRECIATION OF AN AUTOMOBILE An automobile...Ch. 1.3 - CONSUMPTION FUNCTIONS A certain economys...Ch. 1.3 - SALES TAX In a certain state, the sales tax T on...Ch. 1.3 - SOCIAL SECURITY COLAs Social Security recipients...Ch. 1.3 - PROFIT FUNCTION FOR DIGITAL TIMERS Auto Time, a...Ch. 1.3 - PROFIT FUNCTION FOR LIGHT BULBS The management of...Ch. 1.3 - LINEAR DEPRECIATION OF A TEXTILE MACHINE In 2016,...Ch. 1.3 - LINEAR DEPRECIATION OF A WORKCENTER SYSTEM A...Ch. 1.3 - LINEAR DEPRECIATION Suppose an asset has an...Ch. 1.3 - LINEAR DEPRECIATION OF AN OFFICE BUILDING Rework...Ch. 1.3 - Prob. 26ECh. 1.3 - DRUG DOSAGES FOR CHILDREN A method sometime used...Ch. 1.3 - DRUG DOSAGES FOR CHILDREN Cowlings Rule is a...Ch. 1.3 - Prob. 29ECh. 1.3 - Prob. 30ECh. 1.3 - DRINKING AND DRIVING AMONG HIGH SCHOOL STUDENTS...Ch. 1.3 - CALIFORNIA EMISSIONS CAPS The California emissions...Ch. 1.3 - Erosion of the Middle Class The idea of a large,...Ch. 1.3 - U.S. AIRPLANE PASSENGER PROJECTIONS In a report...Ch. 1.3 - CELSIUS AND FAHRENHEIT TEMPERATURES The...Ch. 1.3 - CRICKET CHIRPING AND TEMPERATURE Entomologists...Ch. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - For each demand equation in Exercises 3740, where...Ch. 1.3 - DEMAND FUNCTION FOR A COMMODITY At a unit price...Ch. 1.3 - Prob. 42ECh. 1.3 - DEMAND FUNCTION FOR A COMMODITY Assume that a...Ch. 1.3 - DEMAND FUNCTION FOR A SPORTS WATCH The demand...Ch. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - SUPPLY FUNCTION FOR A DIGITAL RECORDER Suppliers...Ch. 1.3 - SUPPLY FUNCTION FOR A REFRIGERATOR Producers of a...Ch. 1.3 - DEMAND FOR WIRELESS LOUDSPEAKERS The demand...Ch. 1.3 - DEMAND FORWASHABLE COMPUTER KEYBOARDS The demand...Ch. 1.3 - SUPPLY FOR WIRELESS LOUDSPEAKERS The supply...Ch. 1.3 - Prob. 54ECh. 1.3 - Prob. 55ECh. 1.3 - Prob. 56ECh. 1.3 - Prob. 1TECh. 1.3 - Prob. 2TECh. 1.3 - Prob. 3TECh. 1.3 - Prob. 4TECh. 1.3 - Prob. 5TECh. 1.3 - Prob. 6TECh. 1.3 - Prob. 7TECh. 1.3 - Prob. 8TECh. 1.4 - Explain why you would expect that the intersection...Ch. 1.4 - In the accompanying figure, C(x) is the cost...Ch. 1.4 - The accompanying figure gives the demand curve and...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 1-6, find the point of intersection...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - BREAK-EVEN ANALYSIS Auto Time, a manufacturer of...Ch. 1.4 - BREAK-EVEN ANALYSIS A division of Carter...Ch. 1.4 - BREAK-EVEN ANALYSIS A division of the Gibson...Ch. 1.4 - LEASING A TRUCK Ace Truck Leasing Company leases a...Ch. 1.4 - DECISION ANALYSIS A product may be made by using...Ch. 1.4 - ANNUAL SALES OF TWO PHARMACIES The annual sales of...Ch. 1.4 - LCDs VERSUS CRTs The global shipments of...Ch. 1.4 - DIGITAL VERSUS FILM CAMERAS The sales of digital...Ch. 1.4 - U.S. FINANCIAL TRANSACTIONS The percentage of U.S....Ch. 1.4 - BROADBAND VERSUS DIAL-UP The number of U.S....Ch. 1.4 - Income Inequality The share of aggregate income...Ch. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR GPS NAVIGATORS...Ch. 1.4 - 27. EQUILIBRIUM QUANTITY AND PRICE FOR TABLET...Ch. 1.4 - 28. EQUILIBRIUM QUANTITY AND PRICE FOR ESPRESSO...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR DVD PLAYERS The...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR WIRELESS...Ch. 1.4 - Suppose the demand and supply equations for a...Ch. 1.4 - Suppose the cost function associated with a...Ch. 1.4 - In Exercises 33 and 34, determine whether the...Ch. 1.4 - Prob. 34ECh. 1.4 - Let L1 and L2 be two nonvertical straight lines in...Ch. 1.4 - Prob. 36ECh. 1.4 - In Exercise 16, find the point of intersection of...Ch. 1.4 - Prob. 2TECh. 1.4 - Prob. 3TECh. 1.4 - Prob. 4TECh. 1.4 - Prob. 5TECh. 1.4 - Prob. 6TECh. 1.4 - Prob. 7TECh. 1.4 - BREAK-EVEN ANALYSIS The Monde Company makes a wine...Ch. 1.4 - Prob. 9TECh. 1.4 - Prob. 10TECh. 1.4 - Prob. 11TECh. 1.4 - Prob. 12TECh. 1.5 - Explain the terms (a) scatter diagram (b)...Ch. 1.5 - Prob. 2CQCh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - In Exercises 16, a find the equation of the least...Ch. 1.5 - COLLEGE ADMISSIONS The accompanying data were...Ch. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - COST OF SUMMER BLOCKBUSTERS Hollywood is spending...Ch. 1.5 - FACEBOOK USERS The number of Face book users in...Ch. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - GLOBAL BOX-OFFICE RECEIPTS Global ticket sales...Ch. 1.5 - GROWTH OF CREDIT UNIONS Credit union membership is...Ch. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Prob. 21ECh. 1.5 - Prob. 22ECh. 1.5 - Prob. 23ECh. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 1TECh. 1.5 - Prob. 2TECh. 1.5 - Prob. 3TECh. 1.5 - Prob. 4TECh. 1.5 - Prob. 5TECh. 1.5 - Prob. 6TECh. 1.5 - Prob. 7TECh. 1.5 - Prob. 8TECh. 1.CRQ - Prob. 1CRQCh. 1.CRQ - Prob. 2CRQCh. 1.CRQ - Prob. 3CRQCh. 1.CRQ - Prob. 4CRQCh. 1.CRQ - Prob. 5CRQCh. 1.CRQ - Prob. 6CRQCh. 1.CRQ - Prob. 7CRQCh. 1.CRQ - Prob. 8CRQCh. 1.CRQ - Prob. 9CRQCh. 1.CRQ - Prob. 10CRQCh. 1.CRQ - Prob. 11CRQCh. 1.CRQ - Prob. 12CRQCh. 1.CRE - Prob. 1CRECh. 1.CRE - Prob. 2CRECh. 1.CRE - Prob. 3CRECh. 1.CRE - Prob. 4CRECh. 1.CRE - Prob. 5CRECh. 1.CRE - Prob. 6CRECh. 1.CRE - Prob. 7CRECh. 1.CRE - Prob. 8CRECh. 1.CRE - Prob. 9CRECh. 1.CRE - Prob. 10CRECh. 1.CRE - Prob. 11CRECh. 1.CRE - Prob. 12CRECh. 1.CRE - Prob. 13CRECh. 1.CRE - Prob. 14CRECh. 1.CRE - Prob. 15CRECh. 1.CRE - Prob. 16CRECh. 1.CRE - Prob. 17CRECh. 1.CRE - Prob. 18CRECh. 1.CRE - Prob. 19CRECh. 1.CRE - Prob. 20CRECh. 1.CRE - SALES OF MP3 PLAYERS Sales of a certain brand of...Ch. 1.CRE - Prob. 22CRECh. 1.CRE - Prob. 23CRECh. 1.CRE - Prob. 24CRECh. 1.CRE - Prob. 25CRECh. 1.CRE - Prob. 26CRECh. 1.CRE - PROFIT FUNCTION FOR DISPOSABLE CAMERAS A company...Ch. 1.CRE - CYBER MONDAY SALES The amount in millions of...Ch. 1.CRE - Prob. 29CRECh. 1.CRE - Prob. 30CRECh. 1.CRE - SUPPLY EQUATION FOR BYCYCLES Bicycle suppliers...Ch. 1.CRE - DEMAND FOR EARBUD HEADPHONES The demand equation...Ch. 1.CRE - Prob. 33CRECh. 1.CRE - Prob. 34CRECh. 1.CRE - Prob. 35CRECh. 1.CRE - Prob. 36CRECh. 1.CRE - Prob. 37CRECh. 1.CRE - Prob. 38CRECh. 1.CRE - MARKET EQUILIBRIUM FOR REFRIGERATORS The demand...Ch. 1.CRE - EQUILIBRIUM QUANTITY AND PRICE FOR EARBUD...Ch. 1.CRE - Prob. 41CRECh. 1.CRE - Prob. 42CRECh. 1.BMO - Plot the points A(2,1) and B(3,4) on the same set...Ch. 1.BMO - Prob. 2BMOCh. 1.BMO - Prob. 3BMOCh. 1.BMO - Prob. 4BMOCh. 1.BMO - Prob. 5BMOCh. 1.BMO - Prob. 6BMO
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- Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 34.4 27.1 30.8 28.0 32.2 27.6 32.8 25.2 31.4 33.5 24.7 28.4 Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2? arrow_forwardSand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 34.4 27.1 30.8 28.0 32.2 27.6 32.8 25.2 31.4 33.5 24.7 28.4 Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2?arrow_forward29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.arrow_forward
- Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 27.3 34.6 30.6 27.8 33.4 31.5 27.3 31.2 32.0 24.7 24.4 28.2 Test this sequence for randomness about the median. Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives BAABAABAABBB. Verify that the number of runs is 7, the lower critical number is 3, and the upper critical number is 11. Use a 5% level of significance. State the conclusion of the test and interpret your results.arrow_forward29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.arrow_forward4. Assume that a risk-free money market account is added to the market described in Q3. The continuously compounded rate of return on the money market account is log (1.1). (i) For each given μ, use Lagrange multipliers to determine the proportions (as a function of μ) of wealth invested in the three assets available for the minimum variance portfolio with expected return μ. (ii) Determine the market portfolio in this market and calculate its Sharp ratio.arrow_forward
- 3. A market consists of two risky assets with rates of return R₁ and R2 and no risk-free asset. From market data the following have been estimated: ER₁ = 0.25, ER2 = 0.05, Var R₁ = 0.01, Var R2 = 0.04 and the correlation between R1 and R2 is p = -0.75. (i) Given that an investor is targeting a total expected return of μ = 0.2. What portfolio weights should they choose to meet this goal with minimum portfolio variance? Correct all your calculations up to 4 decimal points. (ii) Determine the global minimum-variance portfolio and the expected return and variance of return of this portfolio (4 d.p.). (iii) Sketch the minimum-variance frontier in the μ-σ² plane and indicate the efficient frontier. (iv) Without further calculation, explain how the minimum variance of the investor's portfolio return will change if the two risky assets were independent.arrow_forward2. A landlord is about to write a rental contract for a tenant which lasts T months. The landlord first decides the length T > 0 (need not be an integer) of the contract, the tenant then signs it and pays an initial handling fee of £100 before moving in. The landlord collects the total amount of rent erT at the end of the contract at a continuously compounded rate r> 0, but the contract stipulates that the tenant may leave before T, in which case the landlord only collects the total rent up until the tenant's departure time 7. Assume that 7 is exponentially distributed with rate > 0, λ‡r. (i) Calculate the expected total payment EW the landlord will receive in terms of T. (ii) Assume that the landlord has logarithmic utility U(w) = log(w - 100) and decides that the rental rate r should depend on the contract length T by r(T) = λ √T 1 For each given λ, what T (as a function of X) should the landlord choose so as to maximise their expected utility? Justify your answer. Hint. It might be…arrow_forwardPlease solving problem2 Problem1 We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.arrow_forward
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